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If theta = 30^@, verify that tan 2 theta...

If `theta = 30^@`, verify that `tan 2 theta= (2 tan theta)/(1- tan^2 theta)`.

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Prove that : tan 2 theta= (2 tan theta)/(1-tan^2 theta) .

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

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

Prove that : tan 3 theta= (3 tan theta-tan^3 theta)/(1-3 tan^2 theta) .

Solve cot theta = sin 2 theta by substituting sin 2 theta =( 2 tan theta )/( 1+tan^(2) theta ) and again by substituting sin 2 theta = 2 sin theta * cos theta and check whether the two answer are same or not .

Prove that : tan 4 theta= (4 tan theta(1-tan^2 theta)) /(1-6 tan^2 theta+ tan^4 theta) .

Prove that : tan^2 theta -sin^2 theta =tan^2 theta sin^2 theta .

If sec theta=5/4 verify that (tantheta)/(1+tan^2theta)=(sintheta)/(sectheta) .

If 5 sin theta = 3 , find the value of (sec theta -tan theta)/ (sec theta +tan theta) .

If theta - phi=pi/4 , prove that : (1 + tan theta)(1+tan phi)=2 tan theta .

MODERN PUBLICATION-TRIGNOMETRY-EXERCISE
  1. If A= 45^@, verify that : sin 2A =2 sin A cos A .

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  2. If A= 45^@, verify that : cos 2A = cos^2 A - sin^2 A.

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  3. If theta = 30^@, verify that tan 2 theta= (2 tan theta)/(1- tan^2 thet...

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

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  5. Given tan 2A = (2 tan A)/(1-tan^2A). If tan 30^@= 1/sqrt3, verify that...

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  6. Find the value of theta (0^@ le theta le 90^@) satisfying : tan theta+...

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  7. Find the value of theta (0^@ le theta le 90^@) satisfying : 2 sin^2 th...

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  8. Find the value of theta (0^@ le theta le 90^@) satisfying : 2 cos^2 th...

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  9. If sin theta= 21/29, prove that sec theta+ tan theta= 2 1/2 if theta l...

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  10. What will be the value of the expression sec theta+ tan theta and sin ...

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  11. What will be the value of the expression sec theta+ tan theta and sin ...

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  12. If sin(B +C-A)= cos(C+A-B) =tan (A+B-C)=1, find A, B, C which are posi...

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  13. Find the value of : cos 210^@.

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  14. Find the value of : sin 225^@.

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  15. Find the value of : sin 765^@.

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  16. Find the value of : tan 330^@.

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  17. Find the value of : tan frac (19 pi)(3).

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  18. Find the value of : cot (-315^@).

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  19. Find the value of : cot ((-15 pi)/4) .

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  20. Find the value of : sec frac (11 pi)(4).

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