Class 10 - Mathematics

Introduction to Trigonometry Online MCQ Test

Olympiad Level MCQs Also Included

Set-1

1. If cos A = `\frac{4}{5}`, then the value of tan A is

(A) `\frac{3}{5}`
(B) `\frac{3}{4}`
(C) `\frac{4}{3}`
(D) `\frac{5}{3}`

2. If sin A = `\frac{1}{2}`, then the value of cot A is

(A) `\sqrt3`
(B) `\frac{1}{\sqrt3}`
(C) `\frac{\sqrt3}{2}`
(D) 1

3. The value of the expression `[cosec (75° + θ) – sec (15° – θ) – tan (55° + θ) + cot (35° – θ)]` is

(A) -1
(B) 0
(C) 1
(D) `\frac{3}{2}`

4. Given that sinθ = `\frac{a}{b}`, then cosθ is equal to

(A) `\frac{b}{\sqrt{b^2-a^2}}`
(B) `\frac{b}{a}`
(C) `\frac{\sqrt{b^2-a^2}}{b}`
(D) `\frac{a}{\sqrt{b^2-a^2}}`

5. If cos(α + β) = 0, then sin(α – β) can be reduced to

(A) cos(β)
(B) cos(2β)
(C) sin(α)
(D) sin(2α)

6. The value of (tan1° . tan2° . tan3° ... tan89°) is

(A) 0
(B) 1
(C) 2
(D) `\frac{1}{2}`

7. If cos 9α = sin α and 9α < 90°, then the value of tan 5α is

(A) `\frac{1}{\sqrt3}`
(B) `\sqrt3`
(C) 1
(D) 0

8. If ∆ABC is right angled at C, then the value of cos(A + B) is

(A) 0
(B) 1
(C) `\frac{1}{2}`
(D) `\frac{\sqrt3}{2}`

9. If `sin A + sin^2A = 1`, then the value of the expression `(cos^2A + cos^4A)` is

(A) 1
(B) `\frac{1}{2}`
(C) 2
(D) 3

10. Given that sinα = `\frac{1}{2}` and cosβ = `\frac{1}{2}`, then the value of (α + β) is

(A) 0°
(B) 30°
(C) 60°
(D) 90°