Introduction to Trigonometry-Sample Papers

INTRODUCTION TO TRIGONOMETRY

TEST
MAXIMUM MARKS: 25 MARKS
MAXIMUM TIME: 45 MINUTES
1.   Find:
2.   If sin B= 12/13, then find cot B.                1.
3.   If cosec2θ (1+cosθ) (1-cosθ)= x, then find the value of x.                2
4.   In a triangle ABC, if angle C= 90°, prove that the cosec2A-tan2B =1                3.
5.   Prove that: (sin4θ-cos4θ+1)cosec2θ=2                4.
6.   If acosθ-bsinθ=c, prove that asinθ+bcosθ= ±√a2+b2-c2                4.
7.   
8.   (cosec A-sin A) (secA-cosA)
9.   Find value of √3sinx= cosx                2.
10.   tan x= sin 45°cos45°+sin 30°                2.