MATHEMATICS UNIT TEST PAPER

ADARSHA GOVERNMENT PRE – UNIVERSITY COLLEGE MARE HALLY MALAVALLI TQ ,MANDYA DIS .

MATHEMATICS 1^st PUC : TRIGONOMETRIC FUNCTIONS MAX.MARKS =20

Ⅰ .Answer the following with suitable answers given below . 3X1=3

1. If . Radians in degree measure is .

a) 60⁰ b) 240⁰ c) 150⁰ d) 120⁰

2. The value of tan is .

a) b) c) . d)

3. convert 520⁰ into radian measure .

Ⅱ .Answer the following questions 3 X 2 = 6

4. Convert 42⁰ 20^I into radian measure .

5. Find the radius of the circle in which a central angle of 60⁰ intercepts an arc of length 37.4 cm ( use ).

6. Write the domain and range of Sin x and tan x ?

7. Find the value of sin 15⁰ .

8. prove that sin 3x = 3 sin x – 4 sin³ x .

Ⅲ. Answer any Two questions . 2 X 3 = 6

9. Prove that .

10. Prove that ( cos x + cos y )² + ( sin x – sin y )² = 4 cos ( )

11. Show that cos ( ) + cos ( ( ) = .

12 . If in two circles , arcs of the same length subtends angles 60⁰ and 75⁰ at the centre , find the ratio of their radii

Ⅳ. Answer any one questions : 5 X 1 = 5

13. Prove that Geometrically cos ( x + y ) = cos x . cos y – sin x . sin y , and also find

cos ( ) = - sin x . OR

a) If sec x = , x lies in the 4 th Quadrant , find the values of other five trigonometric functions . 3 marks

b) Prove that 3 sin sec - 4 sin ( ) cot ( ) = 1 . 2 Marks

ADARSHA GOVERNMENT PRE UNIVERSITY COLLEGE