test on trigonometric functions

OP GUPTA Test on: Trigonometric Functions (Set – 1) Max. Marks: 40 Time Allowed: 1 Hr. MATHEMATICAL VIDYAMANDIR Q01. a) Find the radian measure of: 47 10 30 . b) Find the degree measure of: 11/16 c . [2+2 Q02. A wheel makes 450 revolutions in one and half minutes. Through how many radians does it turn in a second? Q03. If cot 12 / 5, x x lies in second quadrant, find the remaining trigonometric functions. [2+3 Q04. Evaluate: tan 15 /4 . OR Find the value of: sin 1110 . [4 Q05. a) Find the value of: sin105 . b) Evaluate: cot /8 . [2+3 Q06. Find the values of sin 2 x , cos 2 x and tan 2 x if 3 tan 4 x and x lies in II quadrant. [4 Q07. Prove that: tan tan 2 tan tan 2 tan tan x x x x x x . [4 Q08. Prove that: 2 2 4 4 tan 1 tan tan4 1 6 tan tan x x x x x . OR Show that: 2 2 2 2 2 3 cos cos cos 3 3 2 x x x . Q09. Solve: 2 2 cos 3sin 0 x x . [6+4 Q10. If 1 5 cot , sec 2 3 where lies in III quadrant and lies in II quadrant, find the value of cos . [4 OP GUPTA Test on: Trigonometric Functions (Set – 1) Max. Marks: 40 Time Allowed: 1 Hr. MATHEMATICAL VIDYAMANDIR Q01. a) Find the radian measure of: 47 30 10 . b) Find the degree measure of: 11/16 c . [2+2 Q02. A wheel makes 450 revolutions in one and half minutes. Through how many radians does it turn in a second? Q03. If cot 5 / 12, x x lies in second quadrant, find the remaining trigonometric functions. [2+3 Q04. Evaluate: sec 1110 . OR Find the value of: tan 15 /4 . [4 Q05. a) Find the value of: cos105 . b) Evaluate: cot /8 . [2+3 Q06. Find the values of sin 2 x , cos 2 x and tan 2 x if 3 tan 4 x and x lies in II quadrant. [4 Q07. Prove that: tan tan 2 tan tan 2 tan tan x x x x x x . [4 Q08. Prove that: 2 2 4 4 tan 1 tan tan4 1 6 tan tan x x x x x . OR Show that: 2 2 2 2 2 3 sin sin sin 3 3 2 x x x . Q09. Solve: 2 2 cos 3sin 0 x x . [6+4 Q10. If 1 5 cot , sec 2 3 where lies in III quadrant and lies in II quadrant, find the value of cos . [4 –experience the excellence– –experience the excellence–

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Self evaluation test on Trigonometric Functions.

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OP GUPTA

Test on: Trigonometric Functions (Set – 1)

Max. Marks: 40 Time Allowed: 1 Hr.

MATHEMATICAL

VIDYAMANDIR

Q01. a) Find the radian measure of: 47 10 30 . b) Find the degree measure of: 11 /16c. [2+2

Q02. A wheel makes 450 revolutions in one and half minutes. Through how many radians does it turn in a second? Q03. If cot 12 / 5, x x lies in second quadrant, find the remaining trigonometric functions. [2+3

Q04. Evaluate: tan 15 / 4 . OR Find the value of: sin 1110 . [4

Q05. a) Find the value of: sin105 . b) Evaluate: cot / 8 . [2+3

Q06. Find the values of sin2

x, cos

x and tan

x if

3tan

4 x and x lies in II quadrant. [4

Q07. Prove that: tan tan 2 tan tan 2 tan tan x x x x x x . [4

Q08. Prove that: 2

2 4

4 tan 1 tantan4

1 6tan tan

x xx

x x. OR Show that: 2 2 22 2 3

cos cos cos3 3 2

x x x .

Q09. Solve: 22cos 3sin 0 x x . [6+4

Q10. If 1 5

cot , sec2 3

where lies in III quadrant and lies in II quadrant, find the value of cos .