If cos²θ - sin²θ = tan²α, then cosθ cosα = ?

Using the measurement given in the following figure, the value of \(\frac{sinϕ + tanθ}{sinϕ - tanθ}\) is ______________ .

The value of \(\frac{1 + sinA}{cosA} + \frac{cosA}{1 + sinA}\) is:

If cosecx + cosec²x = 1, then cot⁶x - 3cot⁸x + 3cot¹⁰x - cot¹²x = ?

If 8 cosx - 8 sinx = 3, then find 55 tanx + \(55\over tanx \)?

If cos47° + sin47° = k, then find the value of cos94°?  

If x = a cosecⁿθ, y = b cotⁿθ is, then it will be ….

If cosecx + cosec²x = 1, then cot⁶x - 3cot⁸x + 3cot¹⁰x - cot¹²x = ?

If sin31° = α , then the value of cot59° is:

If α is the angle between the line joining P and Q and the line joining P and R, then what is cos α equal to?

If A= 60°, B =30°, then find the value of sin A cos B + cos A sin B

Find the value of \({{cos 65°} \over sin25°}\) + \({{5sin19°} \over cos 71°}\) - \({{3cos 28°} \over sin62°}\)

If sec\(\theta\) = \(\frac{13}{5}\), then the value of \(\frac{10tan\theta +24cosec\theta}{39sin\theta-10sec\theta}\)is:

In △ABC, right angled at B, if cotC = 3, then \(cosC(sinC + sinA)\over{sinA(cosC-cosA)}\)is equal to:

The general solution of the equation tan 3x + cot(2x + \(\frac{\pi}{3}\)) = 0 is:

\(\frac{cosθ}{secθ-1}\) + \(\frac{cosθ}{secθ + 1 }\) is equal to:

If sin A+ sin² A = 1, then the value of cos⁴ A + cos⁶ A is:

If 7 cos²θ + 5 sin²θ - 6 = 0, (0° <  θ < 90°), then what is the value of \(\sqrt{{cosec θ+cot θ}\over{cosec θ-cot θ}}\)?

What is the value of tanα if α is the angle made by the line joining the centre of the sphere and any point on the rim of the circular opening with a vertical line passing through the centre?

The value of cot 13° cot 27° cot 60° cot 63° cot 77° is:

The value of (1+ sin⁴A - cos⁴A) cosec²A is:

Find the value of \(\sqrt{\frac{1-sin 3\theta }{1+sin 3\theta }}\)

What is the value of sec²\(\theta\) - cot²(90°- \(\theta\))?

The value of (sin30°cos60° - cos30°sin60°) is equal to:

If sec Ø + cos Ø = 32, then sec² Ø + cos² Ø is _______.

If sinA + cosA = \(\sqrt3\), then find the value of tanA+ cotA + 2sinAcosA.

If sin 2\(\theta\) = √3/2, then what is the value of tan \(\theta\)?

2(sin 1° × sec 89° ) + 3 (cos 11° × cosec 79°) + 5 (tan 21° × tan 69°) = ?

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

Simplify:\(\sqrt{\frac{1-\sin A}{1+\sin A}}\)?

Evaluate: 8 sec²45° + 20 sin²30° + 15 tan 45°

Find the value of cos 0° + cos 30° - tan 45° + cosec 60° + cot 90°.

Simplify the given equation.

\({{cot^3 A-1}\over {cot A-1}}=?\)

What is the value of sin²21 + sin²69?

If tan \(x = \frac{10}{17}\), then what is the value of sin x?

If tanθ = \(7\over4\), then the value of \({4\ sin\ θ\ -\ 3\ cos\ θ}\over{{4\ sin\ θ\ +\ 3\ cos\ θ}}\) is equal to:

If tan A = 15/8 and tan B = 7/24, then cos A + cos B =?

If \(\tan x = \frac{7}{5}\), then the value of \(\frac{9 \sin x - \frac{42}{5}\cos x}{15 \sin x + 21 \cos x}\) is:

If sin\(\theta=\frac{2xy}{x^2+y^2}\), then the value of tan\(\theta\) is:

\({{(1+cos\theta)(cosec\theta-cot\theta)sec\theta} \over sin\theta(1-sin\theta)(sec\theta+tan\theta)}=?\)

If A is an acute angle, then \(\sqrt{1−cosA\over1+cosA}+\sqrt{1+cosA\over 1−cosA}\) is equal to :

If tan(90 - \(\theta\)) =\(\frac{2}{\sqrt3}\), then the value of \(2\sqrt3\) tan \(\theta\) + 1 is:

If tanθ + cotθ = 2, and θ is an acute angle, then the value of θ is:

Evaluate \(7\left ( \frac{cosec 24^\circ}{sec 66^\circ} \right )^3+ 8\left (\frac{cot 37^\circ}{tan 53^\circ} \right )^4-\left ( 2\frac{sec 14^\circ}{cosec 76^\circ} \right )^2+ \left ( -3\frac{tan82^\circ}{cot8^\circ} \right )^3\)

If 3sin²θ + 5cos²θ= 4 and θ is an acute angle, then the value of tanθ is:

If tanθ + cotθ = 2, θ is an acute angle, then find the value of 2 tan²⁵ θ + 3 cot²⁰ θ + 5 tan³⁰ θ cot¹⁵ θ.

What is the value of 3 tan 20°.tan 45°.tan 70°?

What is the value of \(\bigg( {{5\over\sqrt3}-cosec\ 60^\circ} \bigg)\)?

Find the value of \(3sin15^\circ−4sin^315^\circ\).

In right angled triangle ABC, if ∠A = 30°, find the value of 3 sin A - 4 sin³ A.