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If tan theta =a/b, prove that (a sin the...

If `tan theta =a/b`, prove that `(a sin theta- b cos theta)/(a sin theta+b cos theta)=(a^2-b^2)/(a^2+b^2)`

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VK GLOBAL PUBLICATION-INTRODUCTION TO TRIGONOMETRY-PROFICIENCY EXERCISE (SHORT ANSWER QUESTIONS-II)
  1. If sin theta+cos theta=sqrt3, then prove that tan theta+cot theta=1

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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  18. tantheta+tan(9 0^(@)-theta)=secthetaxxsec(9 0^(@)-theta)

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  19. Prove that : tan^(4)theta + tan^(2)theta = sec^(4)theta - sec^(2) th...

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  20. Prove that (tan A)/((1-cot A))+(cot A)/((1-tan A))=(1+ tan A+cot A).

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