Trigonometry Quiz

Find the value of (cot245o - 1)/(cot245o + 1).

1. -1
2. 2
3. 1
4. 0

Answer: (d) 0

If a sin 45o = b cosec 30o, what is the value of a4/b4?

1. 4
2. 16
3. 64
4. 1

Answer: (c) 64

Find the values of the given expression.

Answer: (c)

Find the value of the given expression.

1. Cosec θ + cot θ
2. Sec θ - tan θ
3. Sec θ + tan θ
4. Cosec θ - tan θ

Answer: (b) Sec θ - tan θ

Sin θ + cos θ = √2, then find the value of sin16θ.

1. Cos16θ
2. cos16θ/216
3. Sec8θ
4. sec16θ/216

Answer: (a) Cos16θ

If x = y cos(2π/3) = z cos(4π/3), then find the value of xy + yz + zx.

1. 0
2. 1
3. -1
4. 1/2

Answer: (a) 0

If Cosec θ = 17/8, then what is value of (3 Cos θ + 4Sin θ)/(5 Cos θ - 2 Sin θ)?

1. 56/77
2. 1/11
3. 59/77
4. 77/59

Answer: (d) 77/59

If A, B, C and D are the successive angles of a cyclic quadrilateral, what is the value of Cos A + Cos B + Cos C + Cos D?

1. 1/2
2. -1
3. 1
4. 0

Answer: (d) 0

Which of the following expressions are equivalent to each other for all values of x? I) tan2x/(secx - 1) II) (1 + cosx)/cosx III) 1/√(1 - sin2x) + 1 IV) cotx.secx + sec2x - tan2x

1. I, II
2. I, II, III
3. I, IV
4. I, II, III, IV

Answer: (b) I, II, III

If x + y = 90o, then what is the value of (1 + tan x/tan y)sin2y?

1. 1
2. 0
3. 2
4. 3

Answer: (a) 1