Introduction to Trigonometry-Sample Questions

1.   Prove that:

2.   sin 3θ= cos(θ-6°) and 3θ and θ-6° are acute angles, find value of θ. . (AI CBSE 2008)

3.   If tan A=4/3, then find value of

4.   If tan A=b/a, where a and b are real numbers, find value of sin²A .(AI CBSE 2007)

5.   Prove that:

6.   If cosθ+sin θ=√2cosθ, show that cosθ-sinθ=√2sinθ . (AI CBSE 2007)

7.   Prove that Sinθ (1+tanθ)+cosθ (1+cotθ)=secθ+cosecθ . . (AI CBSE 2008)

8.   Prove that: (sinθ+cosecθ)2+ (cosθ+secθ)2= 7+tan²θ+cot²θ . (AI CBSE 2008)

9.   If 7 sin²θ+ cos²θ=44, show that tan=1/√3 (AI CBSE 2008)

10.   If sec4A=cosec(A-20°), where 4A is a acute angle, find the value of A. (CBSE 2008)