Uploaded October 2020 | Updated September 2026, 2 weeks ago
RS Aggarwal trigonometry solutions | Question 32 | Prove that cot^2 theta(sec theta-1/1+sin theta) + sec2 theta(sin theta-1/1+sec theta)=0 |
prove that cot^2a(seca-1/1+sina)+sec2a(sina-1/1+seca)=0 | Trigonometry class 10 | Trigonometry class 10 important questions |
#trigonometryclass10avijainclasses #trigonometryavijainclasses #trigonometry #trigonometryclass10
Here we have started the series for trigonometry extra questions. And you are going to get a complete set of extra questions that you must study. This series of questions for trigonometry class 10 will help you to understand the conceptual study of trigonometry. The other questions that you must study for trigonometry class 10 are as follows:
Q-1:
Prove the following trigonometric identities | R S Aggarwal example 1 |
youtu.be/kXiFs67qpRo
Q-2:
Prove that (tan theta+sin theta)/(tan theta-sin theta)=(sec theta+1)/(sec theta-1)
youtu.be/ggoTor38_mk
Q-3:
Prove that 1/(1+sin theta)+1/(1-sin theta)=2 sec^(2)theta
youtu.be/RHVHFxml0bU
Q-4:
Exercise 8.4 class 10 question 5 part 2
youtu.be/DyQTCl78ing
Q-5:
Prove that cos theta/(1+sin theta)=(1-sin theta)/cos theta
youtu.be/PHJjDNrHOdk
Q-6:
Prove that sin theta/(1-cos theta)=(cosec theta+cot theta)
youtu.be/PHJjDNrHOdk
Q-7:
Prove that (1-sin theta)/(1+sin theta)=(sec theta-tan theta)^2
youtu.be/DIIzmq9XAyw
Q-8:
Prove that root(1+sin theta/1- sin theta)+root(1-sin theta/1+sin theta)=2 sec theta
youtu.be/-Dg15cV4QIM
Q-9:
Prove that root (1+sin theta/1-sin theta)=sec theta+tan theta. Exercise 8.4 question 5(vi)
youtu.be/xPcQWvjRkRw
Q-10:
Prove that cosec theta/(cosec theta-1)+cosec theta/(cosec theta+1)=2sec^2 theta
youtu.be/EWdcTUTXNDo
Q-11:
Prove that cos theta/(1-tan theta)+sin theta/(1-cot theta)=sin theta+cos theta
youtu.be/y5gErSebi_s
Q-12:
Exercise 8.4 question 5 part 3 | Prove that tan theta/(1-cot theta) + cot theta/(1-tan theta)=1+sec theta cosec theta
youtu.be/mrxuKbWOB4Q
Q-13:
RS Aggarwal Example-5 | Prove that (1+cota-coseca)(1+tana+seca)=2
youtu.be/idjF1K9Yhb4
Q-14:
RD Sharma Example-7 | Prove that sin theta/(1-cos theta)+tan theta/(1+cos theta)=sec theta cosec theta+cot theta
youtu.be/rfw7evZv-PU
Q-15:
RD Sharma - Example-11 | Prove that cosa/(1-tana)+sin^2a/(sina-cosa)=sina+cosa
youtu.be/ojfV-NIOWVc
Q-16(a):
If sec theta + tan theta=p, show that p^2-1/p^2+1=sin theta
youtu.be/8ApXZsvKGFo
Q-16(b):
If 3 sin theta + 5 cos theta=5, prove that 5 sin theta-3 cos theta=+-3
youtu.be/MhJ7H1Ftn68
Q-17:
If acosθ bsinθ=c prove that asinθ+bcosθ= ±√a2+b2-c2
youtu.be/qJ-ISB_jcIo
Q-18:
If sec theta=x+1/4x, show that sec theta+tan theta=2x or 1/2x
youtu.be/UMPD50LoQ1c
Q-19:
prove that 1/(cosec theta - cot theta)-1/sin theta=1/sin theta-1/(cosec theta + cot theta)
youtu.be/f1fVIqxfFKM
Q-20:
If cos theta+sin theta=√2 cos theta, then show that cosθ-sinθ = √ 2sinθ
youtu.be/kKBjGWanCZU
Q-21:
If tan theta=p/q, show that (p sin theta-q cos theta)/(p sin theta+q cos theta)=(p^2-q^2)/(p^2+q^2)
youtu.be/oI3iIUZ4cdE
Q-22:
Prove that sin theta / cot theta+cosec theta=2+sin theta/cot theta-cosec theta
youtu.be/BTfSFmPK9K0
Q-23:
If sin theta + sin^2 theta = 1, show that cos^2 theta + cos^4 theta = 1
youtu.be/RFw6GPJFSfc
Q-24:
Prove that sin^6x+cos^6x=1-3 sin^2x cos^2x
youtu.be/rZ6lH3YLnSM
Q-25:
prove that sec theta + tan theta -1/tan theta-sec theta+1= cos theta/1-sin theta
youtu.be/HxJPEILW_FA
Q-26:
If 7sin^2 theta+3cos^2 theta=4 show that tan theta= 1/√3
youtu.be/nW0q5kYLQHg
Q-27:
If x sin^3 theta + y cos^3 theta = sin theta cos theta , prove that x^2+y^2=1
youtu.be/TIaqW3KN7Dw
Q-28:
Prove that sin theta +cos theta /sin theta - cos theta +sin theta - cos theta /sin theta +cos theta=2 sec square theta /tan square theta -1
youtu.be/fCImXufL9Lg
Q-29:
Prove that tan2A-tan2B=sin2A-sin2B/cos2Acos2B=cos2B-cos2A/cos2Acos2B
youtu.be/TY3FgZoTOFs
Q-30:
If a+b=90 then prove that root tanAtanB+tanAcotB/sinAsecB-sin2B/cos2A=tanA
youtu.be/9Ixpj6ztSRM
Q-31:
If tana=ntanb and sina=msinb prove that cos^2a=m^2-1/n^2-1
youtu.be/le0SSRGUiho
Q-32:
Prove that (1+sina-cosa/1+sina+cosa)^2=1-cosa/1+cosa
youtu.be/MFZnAlva98Y
Q-33:
If cosec theta - sin theta = l and sec theta - cos theta = m, then prove that l^2m^2(l^2+m^2+3)=1
youtu.be/VyP6DOuR7c4
Q-34:
If √3 cot^2θ - 4cotθ+ √3 =0, then find the value of cot^2θ + tan^2θ
youtu.be/qXCZ-DotlJ0
Q-35:
If tan theta+sin theta=m and tan theta-sin theta=n then prove that m^(2)-n^(2)=4sqrt(mn)
youtu.be/IysoLp2gy3k
Q-36:
If 1+sin^2 theta=3 sin theta cos theta, then prove that tan theta=1 or 1/2.
youtu.be/Z7ahEn6b8ZE
Q-37:
If tan theta+sec theta=l, then prove that sec theta=(l^2)+(1/2l)
youtu.be/ZL3jy41luB8
RS Aggarwal trigonometry solutions | Question 32 | Prove that cot^2 theta(sec theta-1/1+sin theta) + sec2 theta(sin theta-1/1+sec theta)=0 |
prove that cot^2a(seca-1/1+sina)+sec2a(sina-1/1+seca)=0 | Trigonometry class 10 | Trigonometry class 10 important questions |
#trigonometryclass10avijainclasses #trigonometryavijainclasses #trigonometry #trigonometryclass10
Here we have started the series for trigonometry extra questions. And you are going to get a complete set of extra questions that you must study. This series of questions for trigonometry class 10 will help you to understand the conceptual study of trigonometry. The other questions that you must study for trigonometry class 10 are as follows:
Q-1:
Prove the following trigonometric identities | R S Aggarwal example 1 |
youtu.be/kXiFs67qpRo
Q-2:
Prove that (tan theta+sin theta)/(tan theta-sin theta)=(sec theta+1)/(sec theta-1)
youtu.be/ggoTor38_mk
Q-3:
Prove that 1/(1+sin theta)+1/(1-sin theta)=2 sec^(2)theta
youtu.be/RHVHFxml0bU
Q-4:
Exercise 8.4 class 10 question 5 part 2
youtu.be/DyQTCl78ing
Q-5:
Prove that cos theta/(1+sin theta)=(1-sin theta)/cos theta
youtu.be/PHJjDNrHOdk
Q-6:
Prove that sin theta/(1-cos theta)=(cosec theta+cot theta)
youtu.be/PHJjDNrHOdk
Q-7:
Prove that (1-sin theta)/(1+sin theta)=(sec theta-tan theta)^2
youtu.be/DIIzmq9XAyw
Q-8:
Prove that root(1+sin theta/1- sin theta)+root(1-sin theta/1+sin theta)=2 sec theta
youtu.be/-Dg15cV4QIM
Q-9:
Prove that root (1+sin theta/1-sin theta)=sec theta+tan theta. Exercise 8.4 question 5(vi)
youtu.be/xPcQWvjRkRw
Q-10:
Prove that cosec theta/(cosec theta-1)+cosec theta/(cosec theta+1)=2sec^2 theta
youtu.be/EWdcTUTXNDo
Q-11:
Prove that cos theta/(1-tan theta)+sin theta/(1-cot theta)=sin theta+cos theta
youtu.be/y5gErSebi_s
Q-12:
Exercise 8.4 question 5 part 3 | Prove that tan theta/(1-cot theta) + cot theta/(1-tan theta)=1+sec theta cosec theta
youtu.be/mrxuKbWOB4Q
Q-13:
RS Aggarwal Example-5 | Prove that (1+cota-coseca)(1+tana+seca)=2
youtu.be/idjF1K9Yhb4
Q-14:
RD Sharma Example-7 | Prove that sin theta/(1-cos theta)+tan theta/(1+cos theta)=sec theta cosec theta+cot theta
youtu.be/rfw7evZv-PU
Q-15:
RD Sharma - Example-11 | Prove that cosa/(1-tana)+sin^2a/(sina-cosa)=sina+cosa
youtu.be/ojfV-NIOWVc
Q-16(a):
If sec theta + tan theta=p, show that p^2-1/p^2+1=sin theta
youtu.be/8ApXZsvKGFo
Q-16(b):
If 3 sin theta + 5 cos theta=5, prove that 5 sin theta-3 cos theta=+-3
youtu.be/MhJ7H1Ftn68
Q-17:
If acosθ bsinθ=c prove that asinθ+bcosθ= ±√a2+b2-c2
youtu.be/qJ-ISB_jcIo
Q-18:
If sec theta=x+1/4x, show that sec theta+tan theta=2x or 1/2x
youtu.be/UMPD50LoQ1c
Q-19:
prove that 1/(cosec theta - cot theta)-1/sin theta=1/sin theta-1/(cosec theta + cot theta)
youtu.be/f1fVIqxfFKM
Q-20:
If cos theta+sin theta=√2 cos theta, then show that cosθ-sinθ = √ 2sinθ
youtu.be/kKBjGWanCZU
Q-21:
If tan theta=p/q, show that (p sin theta-q cos theta)/(p sin theta+q cos theta)=(p^2-q^2)/(p^2+q^2)
youtu.be/oI3iIUZ4cdE
Q-22:
Prove that sin theta / cot theta+cosec theta=2+sin theta/cot theta-cosec theta
youtu.be/BTfSFmPK9K0
Q-23:
If sin theta + sin^2 theta = 1, show that cos^2 theta + cos^4 theta = 1
youtu.be/RFw6GPJFSfc
Q-24:
Prove that sin^6x+cos^6x=1-3 sin^2x cos^2x
youtu.be/rZ6lH3YLnSM
Q-25:
prove that sec theta + tan theta -1/tan theta-sec theta+1= cos theta/1-sin theta
youtu.be/HxJPEILW_FA
Q-26:
If 7sin^2 theta+3cos^2 theta=4 show that tan theta= 1/√3
youtu.be/nW0q5kYLQHg
Q-27:
If x sin^3 theta + y cos^3 theta = sin theta cos theta , prove that x^2+y^2=1
youtu.be/TIaqW3KN7Dw
Q-28:
Prove that sin theta +cos theta /sin theta - cos theta +sin theta - cos theta /sin theta +cos theta=2 sec square theta /tan square theta -1
youtu.be/fCImXufL9Lg
Q-29:
Prove that tan2A-tan2B=sin2A-sin2B/cos2Acos2B=cos2B-cos2A/cos2Acos2B
youtu.be/TY3FgZoTOFs
Q-30:
If a+b=90 then prove that root tanAtanB+tanAcotB/sinAsecB-sin2B/cos2A=tanA
youtu.be/9Ixpj6ztSRM
Q-31:
If tana=ntanb and sina=msinb prove that cos^2a=m^2-1/n^2-1
youtu.be/le0SSRGUiho
Q-32:
Prove that (1+sina-cosa/1+sina+cosa)^2=1-cosa/1+cosa
youtu.be/MFZnAlva98Y
Q-33:
If cosec theta - sin theta = l and sec theta - cos theta = m, then prove that l^2m^2(l^2+m^2+3)=1
youtu.be/VyP6DOuR7c4
Q-34:
If √3 cot^2θ - 4cotθ+ √3 =0, then find the value of cot^2θ + tan^2θ
youtu.be/qXCZ-DotlJ0
Q-35:
If tan theta+sin theta=m and tan theta-sin theta=n then prove that m^(2)-n^(2)=4sqrt(mn)
youtu.be/IysoLp2gy3k
Q-36:
If 1+sin^2 theta=3 sin theta cos theta, then prove that tan theta=1 or 1/2.
youtu.be/Z7ahEn6b8ZE
Q-37:
If tan theta+sec theta=l, then prove that sec theta=(l^2)+(1/2l)
youtu.be/ZL3jy41luB8
