The value of (cosec²B - 1) (sec²B - 1) is:

Which of the following is equivalent to the following trigonometric expression?

(tan² x + 1) (1 + cos 2x)

If cos24° = \(m\over n\), then the value of (cosec 24° − cos66°) is:

If sin θ + cos θ = \(\frac{1}{29}\) find the value of \(\frac{sinθ + cosθ}{sin θ - cos θ}\)

If 2 Tan²A + 4Cos⁴A = 3, then the possible value of A is:

The value of \(sin A \over cotA + cosecA\) - \(sin A \over cotA - cosecA\) + 1 is:

If tanθ - cotθ = 4, then find the value of tan²θ + cot²θ.

In Δ ABC, ∠A= 90°, AB = 20 cm and BC = 29 cm. What is the value of (sinB - cotC)?

If tan θ + cot θ = 6, then the value of tan²θ + cot²θ is ____ .

If sec² α + cos² α = 5/2 and 0° ≤ α ≤ 90°, then find the value of α.

If secθ + tan θ = 2 then secθ - tanθ = ?

The given expression is equivalent to:

\(\sqrt{secθ+1\over secθ-1}\ +\ \sqrt{secθ-1\over secθ+1}\)

If A = 30°, then find the value of \(\frac{(2 tan A) }{(1 - tan² A)}\).

If cotθ = \(\frac{3}{4}\), θ is an acute angle, then sinθ + cosθ - tanθ is equal to:

Find the value of [(1/sec² A) + (1/cosec² A)] × (tan² B - sec² B)

sin2x + 2 sin4x + sin 6x = k(sinx. cos³x . cos 2x) , what is the value of k?

Find the value of [Sin 30° + Cos 60°]/[Sin 60° + Cos30°]

Find the value of [sin 30°cot 45° - cosec 60° tan 30°]/[tan 60° cot 30° + sin 60° cos 30°]

Find the value of sin² 30° + tan 30° - 2sec 45°cosec 45° + 3 sin π/4.

Find the value of sec(π/2 - 30°) + cos(π/2 - 45°) - 2cot(- 90°) + 15\(\sqrt3\)cosec(- 60°).

Which of the following options is equivalent to the following trigonometric expression?

4 sin²(π/4 + x) sin²(π/4 - x) - 4 sin²x cos²x

If (sin A = cos30°), what is the value of (2tan²A - tan45°), given that A is an acute angle?

x and y be two acute angles, x + y < 90° and sin(2x - 20°) = cos(2y + 20°), the value of tan(x + y) is:

What is the value of the following trigonometric expression?

tan 210° + cot 120° + sec 240° + sin 150°

If tan A = 12/5, the value of Sin A + 2Cos A × Cot A is?

Which among the given option is equal to the value of: \(\frac{\cos \theta}{\sin \theta}+\frac{\sin \theta}{\cos \theta}\)

If sinØ = 1/2, then find the ratio of the square of Ø and its complementary angle.

If cosx + cos²x = 1, Find the value of cosx + 1/sec²x.

Find the value of sec²37º - 1/tan²53º.

If cosec A = 25/7, then find the value of sec A.

If tan x = 3/4, then what is the value of (sin 2x)/(cos 3x)?

Which of the following is equivalent to the following trigonometric expression?

(cos²x - sin²x + 2 sinxcosx)(1 - 2 sin²x - 2sin xcos x)

if sin θ = -1/2 and cos Ø = 4/5 then, find the value of sin Ø × sec θ.

Which of the following option is equivalent to the given trigonometric expression?

(sin x + sin 2x + sin 3x)/(sin x)

If 2sin x – 4sin³ x = sec x/2, then what is the value of sin 4x?

A, B and C are angles of a triangle, then what is the value of 1/(tan A tan B) + 1/(tan B tan C) + 1/(tan C tan A)?

Which of the given options is equivalent to the following trigonometric expression?

(tan x - tan y)[cos (x + y) + cos (x - y)]

If cosθ + cos²θ = π/180°. What will be the value of sin²θ + sin⁴θ?

If α + β = 105^o and 4α = 3β, then find the value of sin²α + cos²β.

If tan A = (7/8), then find the value of:

\(\frac{6 \cos A\ + \ 3 \sin A}{\sin A\ +\ 2 \cos A}\)

If cosec θ + cot θ = 2, then find the value of cosec θ.

What is the value of the following trigonometric expression?

(sec² 240° + tan 225° - sec 240° cot 210°/cos 225°)/(tan 240° + sec 225°)

Evaluate: (cot 10º × cot 30º × cot 40º × cot 50º × cot 80º × √3)

If SinACosB + CosASinB = 0, find the value of B, if A = 30º.

Find the value of [(1/sec² A) + (1/cosec² A)] × (tan² B - sec² B)

Find the value of Ø, if √2secØ - tanØ = 1. (0° < Ø < 90°)

If sin(A + B) = 1 and cos(A - B) = (√3/2), where 90° ≥ A > B > 0° then, find the value of tanA.

If sin x = 3/5 then, find the value of (cot x × cosec x).

If sec(60º - 2x) = 1, Find the value of x.

Find the value of sin 75ºcos 75º.