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If theta=30o , verify that: (i) cos2t...

If `theta=30o` , verify that: (i) `cos2theta=(1-tan^2theta)/(1+tan^2theta)` (ii) `cos3theta=4cos^3theta-3costheta`

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If theta=30o, verify that: ( i )cos2 theta=(1-tan^(2)theta)/(1+tan^(2)theta)( ii) cos3 theta=4cos^(3)theta-3cos theta

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Prove that (tan 5theta + tan 3theta)/(tan 5theta - tan 3theta) = 4 cos 2theta cos 4theta

Prove that (tan5 theta+tan3 theta)/(tan5 theta-tan3 theta)=4cos2 theta cos4 theta

If 3cot theta=4 then show that (1-tan^(2)theta)/(1+tan^(2)theta)=(cos^(2)theta-sin^(2)theta)

Taking theta=30^(@) , verify each of the following (i) sin 2theta=2sin theta cos theta (ii) cos theta=2cos^(2)theta-1=1-2sin^(2)theta (iii) tan2theta=(2tantheta)/(1-tan^(2)theta)

VK GLOBAL PUBLICATION-INTRODUCTION TO TRIGONOMETRY-PROFICIENCY EXERCISE (SHORT ANSWER QUESTIONS-II)
  1. If sectheta=5/4 , find the value of (sintheta-2costheta)/(tantheta-...

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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  18. (1+cot A-csc A)(1+tan A+sec A)" is equal to "

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  19. Prove that : tan theta - cot theta = (2 sin^(2) theta - 1)/(sin thet...

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  20. Prove (cosec theta -cot theta)^2=(1-cos theta)/(1+cos theta)

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