1. $\sin {2\alpha}$ is equal to ____
2. $\tan (\frac{\pi}{6}+\frac{\pi}{4})=$
3. $\sin {3\theta} -\sin {5\theta}$ equals ____.
4. If $\sin {\beta}= \frac {3}{5}$ then $\cos {2\beta}=$
5. $\frac{\cos{11^\circ}+\sin11^{\circ}}{\cos{11^\circ}-\sin11^{\circ}}$
6. $\cos {3\alpha}$ equal to:
7. If $\alpha, \beta, \gamma$ are the angles of a triangle then $\tan (\alpha + \beta) + \tan {\gamma}$
9. Distance between $A(3,8) , B(5,6)$ is ______
10. $\frac{\sin {2\alpha} \cos {\alpha}}{\cos^3 {\alpha}-\cos {\alpha} \sin^2 {\alpha}}$
11. $\sin {390^\circ}$ is equal to
12. $\sin {22.5^{\circ}}\cos {22.5^{\circ}}+\cos {22.5^{\circ}}\sin {22.5^{\circ}}=$
14. $1+\cos{2\theta}$ is equal to ______
15. If $ 2\sin {\theta} + \frac{1}{2} \csc{\theta}$ and $\theta=45^{\circ}$, then the value of the given trigonometric identity is:
16. $\frac {1-\cos {x}}{\sin {x}}=$
17. $\tan {\frac{\alpha}{2}}=$_______
18. $\cos^2 {3x} - \sin^2 {3x}=$
19. $\frac{1-\tan^2 {x}}{1+\tan^2 {x}}=?$
20. $\sin (\theta - 270^\circ)$
21. $2\sin {\alpha} \cos {\alpha}$
22. The angle associated with basic angles of the measure $\theta$ a right angle or its multiple are called _________
23. If $\alpha, \beta$ and $\gamma$ are angles of triangle ABC, then $\cos(\frac{\alpha+\beta}{2})$ will be equal to _______.
24. $\cos (\theta - 90^{\circ})-\cos (\theta + 90^{\circ})=$________
26. On simplifying the expansion $\frac{\sin {2\theta}}{1+\cos {2\theta}}$, the results is.
27. $\tan (\frac{3\pi}{2}+\theta)=$______
28. $\sin {3\alpha}$ equal to:
29. $\cos (\alpha +\beta)-\cos(\alpha -\beta)=$_________
30. If $\cos {\theta}=-\frac{\sqrt{3}}{2}$ and the terminal arm of angles in III quadrant. Then $\sin {\theta}=$_____.
31. $\frac{2 \tan{\theta}}{1-\tan^2 {\theta}}$ is equal to:
32. $\frac{3\pi}{2}+10^{\circ}$ lies in:
34. The angle $90^{\circ} \pm \theta$ , $180^{\circ} \pm \theta$, $270^{\circ} \pm \theta$, $360^{\circ} \pm \theta$, are the ____ angles,
35. $\cos {319^\circ}$ is equal to
36. $\sin {\alpha}=\frac {2}{3}$, $\cos {\alpha}=\frac{3}{4}$, $\sin {2\alpha}=?$
37. $\sin (45^{\circ} - 30^{\circ})=?$
38. $\cos (60^{\circ}-30^{\circ}) \neq ?$
39. $(\sin {x} - \cos {x})^2$
40. The trigonometric identity $\frac{\sin{\alpha}+\sin{2\alpha}}{1+\cos{\alpha}+\cos{2\alpha}}=$_______.
42. $2\sin {\frac{P+Q}{2}\cos {\frac{P-Q}{2}}}$
43. If $r \cos {\theta} =3$, $r \sin {\theta} =4$, then $r=$________
45. $\tan (\frac {\pi}{2}+\theta)=?$
46. $\cos {48^\circ} +\cos {12^\circ}=?$
