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Prove : ( 1+ tan^2 theta )(1 + sin theta...

Prove : `( 1+ tan^2 theta )(1 + sin theta )(1 - sin theta) = 1`.

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Prove the following trigonometric identities: cot^(2)theta-(1)/(sin^(2)theta)=-1 (ii) (1+tan^(2)theta)(1+sin theta)(1-sin theta)=1

Prove that (1+tan theta)/(1-tan theta) = (1 - sin 2 theta)/(cos 2 theta) .

Prove that sec theta + tan theta = (cos theta)/(1-sin theta)

Prove that: sec theta + tan theta = (cos theta)/(1-sin theta) .

Prove that : sqrt((1 - sin theta)/(1 + sin theta)) = sec theta - tan theta

Prove that (1+sin theta)/(1-sin theta)-(1-sin theta)/(1+sin theta)=4sec theta tan theta

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VK GLOBAL PUBLICATION-INTRODUCTION TO TRIGONOMETRY-PROFICIENCY EXERCISE (SHORT ANSWER QUESTIONS-II)
  1. If sin (A - B) = 0 , cos (A + B) = 0, 0^(@) lt A + B le 90^(@), find...

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  2. If tan (A + B) = sqrt(3) and tan (A - B) = 0, 0^(@) lt A + B le 90^(@...

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  3. Prove : ( 1+ tan^2 theta )(1 + sin theta )(1 - sin theta) = 1.

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  4. If sin theta+cos theta=sqrt3, then prove that tan theta+cot theta=1

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  5. .If alpha+beta=90^(@), show that sqrt(cos alpha*csc beta-cos alpha*sin...

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  6. If tan theta =a/b, prove that (a sin theta- b cos theta)/(a sin theta+...

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  7. If sectheta=5/4 , find the value of (sintheta-2costheta)/(tantheta-...

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  8. If theta=30o , verify that: (i) tan2theta=(2tantheta)/(1-tan^2theta...

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  9. If theta=30o , verify that: (i) cos2theta=(1-tan^2theta)/(1+tan^2th...

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  10. If A = 30^(@) and B = 60^(@) , verify that cos (A + B) = cos A cos B -...

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  11. If A = 30^(@) and B = 60^(@), verify that sin (A + B) = sin A cos B + ...

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  12. If cottheta=(15)/8,t h e ne v a l u a t e((2+2sintheta)(1-sintheta)/((...

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  13. If sectheta=x+1/(4x),p rov et h a t :sectheta+tantheta=2xor ,1/(2x)

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  14. If sqrt(3) tan theta=3 sin theta and theta!=0 then find the value of s...

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  15. If cos e c\ theta=(13)/(12) , find the value of (2sintheta-3\ cos\ ...

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  16. If sintheta=(a^2-b^2)/(a^2+b^2) then find 1+tantheta*costheta.

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  17. If costheta +sin theta= sqrt(2)cos theta, then prove that costheta-sin...

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  18. Find the value of x sqrt(3) sin x = cos x

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  19. If tan x = sin45^(@) cos 45^(@) + sin 30^(@) then x is equal to

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  20. sin^(6)theta+cos^(6)theta+3sin^(2)theta cos^(2)theta=1

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