Find the value of sin 75ºcos 75º.

If secθ - tanθ = \(1\over \sqrt3\) then, find the value of sec²θ + sin⁴θ.

If 15cot θ = 8, then find the value of sin θ + sec θ.

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

Find the value of \({{3-4sin^2\theta}\over {cos^2\theta}}+ tan^2\theta\), if sinθ = cos θ such that 0 < θ < 90°.

Which among the following options is equal to the value of sec A – cos A?

Find the value of \(\frac{\cos35°\sin55°+\sin32°\sec58°+ \sin35°\cos55° + \csc 58°\cos32°}{\cot°10\cot°20\cot°60\cot°70\cot°80}\)

If cos A cosec A + cosec A = 2, and A is in between 0 to 90 then what will be the value of cos A?

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

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

2 sin² x cos² x (1 + cos 4x)

Find the value of the following expression :

7/sin²θ - 7/tan²θ = ?

Find the value of 2sin15°cos75° + (tan 22° – cot 68°) × sin 11°.

What is the value of the following trigonometric expression?

(tan 75° - tan 15°)/(tan 60° + tan 30°)

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

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

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

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

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

Find the value of \({{3-4sin^2\theta}\over {cos^2\theta}}+ tan^2\theta\), if sinθ = cos θ such that 0 < θ < 90°.

Simplify: (sin A - cos B) ÷ 2 tan 45º, where A = 30º and B = 60º.

Find the value of (sin 1110°/cot 780°).

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

Find the value of 6√3(cosec 60° + tan 60°).

If \(\frac{sec A - tan A}{sec A + tan A} = \frac{3}{5}\) Find the value of (Sin A + Cosec A).

Simplify: (sin A - cos B) ÷ 2 tan 45º, where A = 30º and B = 60º.

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

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

If 15cot θ = 8, then find the value of sin θ + sec θ.

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

Find the value of : cosec(40° + A) + tan(55° + A) - sec(50° - A) - cot(35° - A).

Find the value of Cos180° + Cos135°- Cos240°+ Cos315°.

If  \({1\over cosec^2\theta-1} - {5\over 1- sec^2\theta} - cot^2\theta - sec^2\theta = 1\) then, what will be the simplified value of cotθ?

If \(\theta\) is an acute angle and sin \(\theta\) cos \(\theta\) = 2cos³ \(\theta\) - \(\frac{1}{4}\) cos \(\theta\) ,then the value of sin \(\theta\) is:

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

sin²90^o + cosec²90^o - cot²45^o = ?

If 1 +cot²θ = \(\frac{625}{49}\) and θ is acute angle, then what is the value of ( sinθ + cos θ)^0.5 ?

If sec \(\theta\) + tan \(\theta\) = √3, then the positive value of sin \(\theta\) + cos \(\theta\) is:

If cosx + sinx = √ 2cosx, What is the value of (cosx - sinx)² + (cosx + sinx)² ?

Evaluate (9sinθ + 2cosθ)/(9sinθ − 2cosθ), if 3tanθ = 4.

Find the value of \(cos^2 25°-sin^265°\over{cos^2 25°+sin^265°}\) :

Simplify the given equation. ( 1 + tan²A)(1 + cot²A) = ?

Find the value of \(\frac{sec^2 54°-cot^2 36°}{cosec^2 57° -tan^2 33°}\) .

If cot A = 7, then the value of \(\frac{5cosA+4sinA}{cos^3A+7sin^3A+6sinA}\)is:

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

If 8sin²θ + 14sinθ - 15 = 0 then, find the value of\(\sqrt {cosec \theta - \sinθ + \cot^2θ}\).

Find the value of [3(tanθ - cosθ)⁴ + 4(sinθ - cosθ) + 3(sin⁶θ - cos⁶θ)]/2(tan⁴θ + cos⁴θ).

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

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

The value of sin² 5° + sin² 10° + sin² 15° + ... + sin² 85° + sin² 90° is equal to:

\((1+ tanθ + secθ)(1+cotθ – cosecθ)\over(secθ + tanθ)(1-sinθ)\) is equal to:

If sec \(\theta\) + tan \(\theta\) = √3, then the positive value of sin \(\theta\) + cos \(\theta\) is:

If cot A = \(\frac{12}{5}\), then the value of (sin A + cos A) x cosec A is ____________.