Example 27-RS Aggarwal. Prove that root(1+sin theta/1- sin theta)+root(1-sin theta/1+sin theta)=2 sec theta | Trigonometry | Trigonometry class 10 important questions |
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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 |
• RS Aggarwal Trigonomet...
Q-2:
Prove that (tan theta + sin theta)/(tan theta - sin theta) = (sec theta +1)/(sec theta -1).
• Prove that tana+sina/t...
Q-3:
Prove that 1/(1+sin theta)+1/(1-sin theta)=2 sec^(2)theta
• Prove that (1)/(1+sin ...
Q-4:
Exercise 8.4 class 10 question 5 part 2.
• Exercise 8.4 question ...
Q-5:
Prove that cos theta/(1+sin theta)=(1-sin theta)/cos theta. Prove that (1-cos theta)/sin theta=sin theta/(1+cos theta).
• Prove that 1-cos theta...
Q-6:
Prove that sin theta/(1-cos theta)=(cosec theta+cot theta)
• Prove that sin theta/1...
Q-7:
Prove that (1-sin theta)/(1+sin theta)=(sec theta-tan theta)^2
• Prove that 1-sina/1+si...
Q-8:
Prove that root(1+sin theta/1- sin theta)+root(1-sin theta/1+sin theta)=2 sec theta.
• Prove that root(1+sin ...
Q-9:
Prove that root (1+sin theta/1-sin theta)=sec theta+tan theta. Exercise 8.4 question 5(vi).
• Prove that root ((1+si...
Q-10:
Prove that cosec theta/(cosec theta-1) + cosec theta/(cosec theta+1)=2sec^2 theta.
• Prove that coseca/cose...
Q-11:
Prove that cos theta/1-tan theta + sin theta/1-cot theta=sin theta+cos theta.
• Prove that cos theta/1...
Q-12:
prove that tan theta/1-cot theta+cot theta/1-tan theta=1+sec theta cosec theta. Ex 8.4 Question 5 (iii):
Q-13:
Prove that (1+cota-coseca)(1+tana+seca)=2. Prove that (1+cotθ-cosecθ)(1+tanθ+secθ)=2
• Prove that (1+cota-cos...
Q -14:
RD Sharma Example-7 | Prove that sin theta/(1-cos theta)+tan theta/(1+cos theta)=sec theta cosec theta+cot theta
• RD Sharma Ex 11.1 Exam...
Q -15:
RD Sharma Exercise 11.1 class 10 Example-11. Prove that cosa/1-tana+sin2a/sina-cosa=sina+cosa.
• RD Sharma Exercise 11....
Q-16(a):
If sec theta + tan theta=p, show that p^2-1/p^2+1=sin theta
• If sec theta+tan theta...
Q-16(b):
If 3 sin theta + 5 cos theta=5, prove that 5 sin theta-3 cos theta=+-3
• If 3 sin theta+5 cos t...
Q-17:
If acosθ bsinθ=c prove that asinθ+bcosθ= ±√a2+b2-c2
• If acosθ-bsinθ=c prove...
Q-18:
If sec theta=x+1/4x, show that sec theta+tan theta=2x or 1/2x
• If sec theta = x+1/4x,...
Q-19:
prove that 1/(cosec theta - cot theta)-1/sin theta=1/sin theta-1/(cosec theta + cot theta)
• prove that 1/cosec the...
Q-20:
If cos theta+sin theta=√2 cos theta, then show that cosθ-sinθ = √ 2sinθ
• If cos theta+sin theta...
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)
• If tan theta=p/q, show...
Q-22:
Prove that sin theta / cot theta+cosec theta=2+sin theta/cot theta-cosec theta
• Prove that sin theta /...
Q-23:
If sin theta + sin^2 theta = 1, show that cos^2 theta + cos^4 theta = 1
• If sin theta + sin^2 t...
Q-24:
Prove that sin^6x+cos^6x=1-3 sin^2x cos^2x
• Prove that sin^6a+cos^...
Q-25:
prove that sec theta + tan theta -1/tan theta-sec theta+1= cos theta/1-sin theta
• Prove that seca+tana-1...
Q-26:
If 7sin^2 theta+3cos^2 theta=4 show that tan theta= 1/√3
• If 7sin^2a+3cos^2a=4 s...
Q-27:
If x sin^3 theta + y cos^3 theta = sin theta cos theta , prove that x^2+y^2=1
• Trigonometry important...
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
• prove that sin theta +...
Q-29:
Prove that tan2A-tan2B=sin2A-sin2B/cos2Acos2B=cos2B-cos2A/cos2Acos2B
• Prove that tan2A-tan2B...
Q-30:
If a+b=90 then prove that root tanAtanB+tanAcotB/sinAsecB-sin2B/cos2A=tanA
• Trigonometry. If a+b=9...
Q-31:
If tana=ntanb and sina=msinb prove that cos^2a=m^2-1/n^2-1
• If tana=ntanb and sina...
Q-32:
Prove that (1+sina-cosa/1+sina+cosa)^2=1-cosa/1+cosa
• Trigonometry. Prove th...
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
• If cosec theta - sin t...
Q-34:
If √3 cot^2θ - 4cotθ+ √3 =0, then find the value of cot^2θ + tan^2θ
• If √3 cot^2θ - 4cotθ+ ...
Q-35:
If tan theta+sin theta=m and tan theta-sin theta=n then prove that m^(2)-n^(2)=4sqrt(mn)
• If tan theta+sin theta...
Q-36:
If 1+sin^2 theta=3 sin theta cos theta, then prove that tan theta=1 or 1/2.
• If 1+sin^2 theta=3 sin...
Q-37:
If tan theta+sec theta=l, then prove that sec theta=(l^2)+(1/2l)