#### Trigonometry Two Marks Question

11th Standard

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Time : 00:45:00 Hrs
Total Marks : 30
15 x 2 = 30
1. Convert the following degree measure into radian measure 240o

2. Convert the following degree measure into radian measure -320o

3. Find the degree measure corresponding to the following radian measure.  -3

4. Find the degree measure corresponding to the following radian measure.  $\frac { 11\pi }{ 18 }$

5. Evaluate $\cot\left(\frac{-15\pi}{4}\right)$

6. In any quadrilateral ABCD, prove that sin (A + B) + sin (C + D) = 0

7. Prove that $\cos18^o-\sin18^o=\sqrt{2}.\sin27^o$

8. If $\tan^2x=2\tan^2\phi+1$, prove that $\cos2x+sin^2\phi=0$

9. Convert  $\frac{1}{4}$radians into degree

10. Find the quadrants in which the terminal sides of the following angles lie.
-70o

11. Express the following as sum or difference
2cos3$\theta$cos$\theta$

12. Express the following as sum or difference
2sin4$\theta$sin2$\theta$

13. Express the following as sum or difference
cos$\frac{3A}{2}cos\frac{5A}{2}$

14. Express the following as sum or difference
2cos13Asin15A

15. Prove that ${ cos }^{ -1 }\left( \frac { 4 }{ 5 } \right) +{ cos }^{ -1 }\left( \frac { 3 }{ 5 } \right) ={ cos }^{ -1 }\left( \frac { 27 }{ 11 } \right)$