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If cos 3theta= sin (theta - 6^@) where 3...

If cos 3`theta`= sin (`theta` - `6^@`) where 3`theta` and `theta`-`6^@` are acute angles, find the value of `theta`.

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MBD-INTRODUCTION TO TRIGONOMETRY-EXERCISE
  1. If sin 5theta = cos 4theta where 5theta and 4theta are acute angles, f...

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  2. If tan 2theta = cot 4theta where 2theta and 4theta are acute angles. F...

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  3. If cos 3theta= sin (theta - 6^@) where 3theta and theta-6^@ are acute ...

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  4. If A, B, C are interior angles of triangleABC, prove that :- sin((A+C)...

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  5. If A, B, C are interior angles of triangleABC, prove that :- cos((B+C)...

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  6. If A, B, C are interior angles of triangleABC, prove that :- cos^2(A/2...

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  7. If A, B, C are interior angles of triangleABC, prove that :- 1+tan^2((...

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  8. If A, B, C are interior angles of triangleABC, prove that :- 1+cot^2((...

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  9. If A, B, C are interior angles of triangleABC, prove that :- tan((A+B...

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  10. Match the following : .

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  11. Prove that sec A (1 -sin A) (sec A + tan A) =1.

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  12. Prove the following : (cot A - cos A)/(cot A + cos A)= (cosec A -1)/(c...

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  13. Prove the following : (sintheta-costheta+1)/(sintheta+costheta-1)=(1)/...

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  14. Prove the following : tan^2A-tan^2B=(sin^2A-sin^2B)/(cos^2Acos^2B) .

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  15. (sec A - cos A) (cot A + tan A) = tan A sec A.

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  16. sin A (1 + tan A) + cos A (1 + cot A) = sec A + cosec A .

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  17. (cosec theta -sin theta) (sec theta - cos theta) (tan theta + cot thet...

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  18. (1 + cot A — cosec A) (1 + tan A + sec A) = 2 .

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  19. (sintheta+cosectheta)^2+(costheta+sectheta)^2=tan^2theta+cot^2+7 .

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  20. tan^2theta+cot^2theta+2=sec^2thetacoses^2theta .

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