#### Term 3 Trigonometry Two Marks Questions

9th Standard

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Maths

Time : 00:45:00 Hrs
Total Marks : 30
15 x 2 = 30
1. From the given figure find all the trigonometric ratios of angle B.

2. From the given figure, find the values of  (i) sinB (ii) secB (iii) cot B  (iv) cosC (v) tanC (vi) cosecC

3. If cos A = $\frac { 2x }{ 1+{ x }^{ 2 } }$ then find the values of sinA and tanA in terms of x.

4. If sin $\theta$  = $\frac { a }{ \sqrt { { a }^{ 2 }+{ b }^{ 2 } } }$ then show that b sin $\theta$ = a cos $\theta$

5. Verify cos3A = 4cos3 A - 3cosA , when A = 300

6. Find the value of 8sin2x.cos 4x.sin6x , when x =150

7. Find the value of $\theta$ if
(i) sin$\theta$ = 0.9975 (ii) cos$\theta$ = 0.6763 (iii) tan$\theta$ = 0.0720 (iv) cos$\theta$ = 0.0410 (v) tan$\theta$ = 7.5958

8. Find the area of a right triangle whose hypotenuse is 10cm and one of the acute angle is 24024'

9. Find the angle made by a ladder of length 5m with the ground, if one of its end is 4m away from the wall and the other end is on the wall.

10. If 3 cot$\theta$ =, then find the value of  $\cfrac { 3cos\theta -4sin\theta }{ 5sin\theta +4cos\theta }$

11. If sin$\theta$ = $\cfrac { a }{ \sqrt { \left( { a }^{ 2 }+{ b }^{ 2 }+{ c }^{ 2 }+2bc \right) } }$ ,then show that (b + c) sin $\theta$ = (a) cos $\theta$

12. If 3 (tan $\theta$) + 4 (sec $\theta$ x sin 6) = 24. Then find all the trigonometric ratios of the angle $\theta$

13. Find the value of cot 15°. cot 30°. cot 45°. cot 60°. cot 75°

14. Find the value of cos 19° 59' + tan 12° 12' + sin 49° 20'.

15. Find the value of $\cfrac { cos{ 63 }^{ 0 }20' }{ sin{ 26 }^{ 0 }40' }$