JEE Maths Quiz Trigonometry MCQ

cos (540° – θ) – sin (630° – θ) is equal to

1. 0
2. 2 cos θ
3. 2 sin θ
4. sin θ – cos θ

The value of tan 1° tan 2° tan 3° … tan 89° is

1. 1
2. 0
3. ∞
4. 1/2

If x = y cos 2π/3 = z cos 4π/3, then xy + yz + zx is equal to

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

If 0° < x < 90° & cosx = 3/√10 , then the value of log₁₀ sin x + log₁₀ cos x + log₁₀tan x is

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

If tanα + cot α = a then the value of tan4 α + cot4 α =

1. a⁴ + 4a² + 2
2. a⁴ – 4a² + 2
3. a⁴ – 4a² – 2
4. a⁴ – 2a² + 2

STATEMENT – 1 : sin 2 > sin 3
STATEMENT – 2 : If x, y ε (π/2, π), x < y, then sin x > sin y

1. STATEMENT-1 is true, STATEMENT-2 is true and STATEMENT-2 is correct explanation for STATEMENT-1
2. STATEMENT-1 is true, STATEMENT-2 is true and STATEMENT-2 is not correct explanation for STATEMENT-1
3. STATEMENT-1 is true, STATEMENT-2 is false
4. STATEMENT-1 is false, STATEMENT-2 is true

If cosecθ – cotθ = α, then cotθ is :

1. 1/2(1/α + α)
2. 1/2(1/α – α)
3. (1/α + α)
4. (1/α – α)

If a cos θ + b sin θ = 3 & a sin θ – b cos θ = 4 then a² + b² has the value =

1. 25
2. 14
3. 7
4. 10

when simplified reduces to:

1. sin x cos x
2. – sin² x
3. – sin x cos x
4. sin² x

The expression

is equal to

1. 0
2. 1
3. 3
4. sin 4α + sin 6α

The value of the expression (1 + cos π/10)(1 + cos 3π/10)(1 + 7π/10)(1 + cos 9π/10) is

1. 1/8
2. 1/16
3. 1/4
4. 0

The value of

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

If tan A and tan B are the roots of the quadratic equation x² – ax + b = 0, then the value of sin² (A + B).

1. a²/a²+(1-b)²
2. a²/a²+b²
3. a²/(b+c)²
4. a²/b²(1-a)²

If tan A – tan B = x and cot B – cot A = y, then cot (A – B) is equal to

1. 1/y – 1/x
2. 1/x – 1/y
3. 1/x + 1/y
4. 1/x+y

If tan 25° = x, then tan155° – tan115°/1+tan155° tan115° is equal to

1. 1 + x²/2x
2. 1 – x²/2x
3. 1 + x²/1 – x²
4. 1 – x²/1 + x²

If A + B = 225°, then the value of (cot A / 1 + cot A).(cot B / 1 + cot B) is

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

The value of tan 203° + tan 22° + tan 203° tan 22° is

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