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Prove that sin theta1tan thetacos theta1cot thetasec thetacosec theta Trigonometry
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RS Aggarwal Trigonometry- Question No.7 | Trigonometry class 10 | Prove that sin theta(1+tan theta)+cos theta(1+cot theta)=sec theta+cosec theta | prove that sina(1+tana)+cosa(1+cota)=seca+coseca | 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 | • • Prove the following trigonometric ide... • Q-2: • Prove that (tan theta+sin theta)/(tan theta-sin theta)=(sec theta+1)/(sec theta-1) • • Video • Q-3: • Prove that 1/(1+sin theta)+1/(1-sin theta)=2 sec^(2)theta • • Video • Q-4: • Exercise 8.4 class 10 question 5 part 2 • • Video • Q-5: • Prove that cos theta/(1+sin theta)=(1-sin theta)/cos theta • • Video • Q-6: • Prove that sin theta/(1-cos theta)=(cosec theta+cot theta) • • Video • Q-7: • Prove that (1-sin theta)/(1+sin theta)=(sec theta-tan theta)^2 • • Prove that 1-sina/1+sina=(seca-tana)^... • 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 theta/1- sin th... • Q-9: • Prove that root (1+sin theta/1-sin theta)=sec theta+tan theta. Exercise 8.4 question 5(vi) • • Exercise 8.4 Question 5 part 6. Ex 8.... • Q-10: • Prove that cosec theta/(cosec theta-1)+cosec theta/(cosec theta+1)=2sec^2 theta • • Video • Q-11: • Prove that cos theta/(1-tan theta)+sin theta/(1-cot theta)=sin theta+cos theta • • Video • 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 • • Video • Q-13: • RS Aggarwal Example-5 | Prove that (1+cota-coseca)(1+tana+seca)=2 • • Video • Q-14: • RD Sharma Example-7 | Prove that sin theta/(1-cos theta)+tan theta/(1+cos theta)=sec theta cosec theta+cot theta • • Video • Q-15: • RD Sharma - Example-11 | Prove that cosa/(1-tana)+sin^2a/(sina-cosa)=sina+cosa • • Video • Q-16(a): • If sec theta + tan theta=p, show that p^2-1/p^2+1=sin theta • • Video • Q-16(b): • If 3 sin theta + 5 cos theta=5, prove that 5 sin theta-3 cos theta=+-3 • • Video • Q-17: • If acosθ bsinθ=c prove that asinθ+bcosθ= ±√a2+b2-c2 • • Video • Q-18: • If sec theta=x+1/4x, show that sec theta+tan theta=2x or 1/2x • • Video • Q-19: • prove that 1/(cosec theta - cot theta)-1/sin theta=1/sin theta-1/(cosec theta + cot theta) • • prove that 1/cosec theta - cot theta ... • Q-20: • If cos theta+sin theta=√2 cos theta, then show that cosθ-sinθ = √ 2sinθ • • Video • 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) • • Video • Q-22: • Prove that sin theta / cot theta+cosec theta=2+sin theta/cot theta-cosec theta • • Prove that sin theta / cot theta + co... • Q-23: • If sin theta + sin^2 theta = 1, show that cos^2 theta + cos^4 theta = 1 • • If sin theta + sin^2 theta = 1, show ... • Q-24: • Prove that sin^6x+cos^6x=1-3 sin^2x cos^2x • • Prove that sin^6x+cos^6x=1-3 sin^2x c... • Q-25: • prove that sec theta + tan theta -1/tan theta-sec theta+1= cos theta/1-sin theta • • Video • Q-26: • If 7sin^2 theta+3cos^2 theta=4 show that tan theta= 1/√3 • • If 7sin^2a+3cos^2a=4 show that tana= ... • Q-27: • If x sin^3 theta + y cos^3 theta = sin theta cos theta , prove that x^2+y^2=1 • • Trigonometry important question for c... • 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 +cos theta /sin ... • Q-29: • Prove that tan2A-tan2B=sin2A-sin2B/cos2Acos2B=cos2B-cos2A/cos2Acos2B • • Video • Q-30: • If a+b=90 then prove that root tanAtanB+tanAcotB/sinAsecB-sin2B/cos2A=tanA • • Trigonometry. If a+b=90 then prove th... • Q-31: • If tana=ntanb and sina=msinb prove that cos^2a=m^2-1/n^2-1 • • Video • Q-32: • Prove that (1+sina-cosa/1+sina+cosa)^2=1-cosa/1+cosa • • Trigonometry. Prove that (1+sina-cosa... • 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 theta = l and se... • Q-34: • If √3 cot^2θ - 4cotθ+ √3 =0, then find the value of cot^2θ + tan^2θ • • If √3 cot^2θ - 4cotθ+ √3 =0, then fin... • 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=m and tan thet... • Q-36: • If 1+sin^2 theta=3 sin theta cos theta, then prove that tan theta=1 or 1/2. • • Video • Q-37: • If tan theta+sec theta=l, then prove that sec theta=(l^2)+(1/2l) • • Video
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