If sin x = \(\frac{3}{10}\) then what is the value of tan x + cot x = ?

Using cos(A + B) = cosA cosB - sinA sinB, find the value of cos75°.

If sinA = - \(\frac{3}{5}\), A lies in III quadrant, the value of secA is:

If tan\(\frac{A}{2}\)= x, then find x.

\(\frac{2tanA}{1+tan^2A}=?\)

If sin 23° = \(\frac{a}{b}\), then the value of sec 23^° - sin 67° is _______.

Simplify the following: \(\frac{sin^3⁡α+ cos^3⁡α }{sin⁡ α+ cos⁡α }\)

If \(\frac{cos ⁡β}{secα}\) = 15 and \(\frac{sin⁡β}{sec⁡α}\) = 16, then the value of sin²β is _________.

What is the value of sin30° + cos30° + tan30°?

cosec 2910°+ sec 4260° + tan 2565° + cot 1755° = ?

Solve the given expression.\(\frac{sec^2(90^0-\theta)-cot^2\theta}{2(sin^235^0+sin^255^0)}\)

The following expression is equal to.

cot85° + cos75°

Which of the following is a FALSE statement?

If cosx = \(-\frac{1}{2}\) ,x lies in the third quadrant, then tanx = ?

Which of the following options is NOT a correct trigonometric identity?

If cosx + sinx = \(\sqrt{2}\)cosx, What is the value of (cosx - sinx)² + (cosx + sinx)² ?

Using tan (A - B) = \(\frac{tanA-tanB}{1+tanA tanB}\) find the value of tan15º.

What is the value of sin(-405°)?

Find the value of \(\frac{2}{3}\) tan² 60° + 3 cos² 30° - 2 sec² 30°- \(\frac{3}{4}\) cot² 60°.

Find the value of (sinθ + cosθ)² + (sinθ - cosθ)².

What is the value of sec² A - tan² A?

The value of tan 25°.tan 35°.tan 45°.tan 55°.tan 65° is:

If secA + tanA = 3, then cosA is equal to:

If \(\left ( \frac{cosA}{1-sinA} \right )+\left ( \frac{cosA}{1+sinA} \right )=4\), then what will be the value of A? (0° < θ < 90°)

Find the value of \(\frac{cos41}{sin 49} + \frac{ sin 51}{cos 39 }\).

Find the exact value of cos 120°.

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

If \(\frac{sinx-cosx}{sinx+cosx}=\frac{2}{5}\), then the value of \(\frac{1+cot^2x}{1-cot^2x}\)?

The value of sec x - cos x = ?

If \(sec\theta=\frac{4}{3}\), what is the value of tan²θ + tan⁴θ?

Find the value of the given expression.

\(\frac{4}{3} \) tan² 45° + 3 cos² 30° - 2 sec² 30° - \(\frac{3}{4}\)  cot² 60°

The value of cos²32°- sin² 58° is:

Using cot(A - B) \(=\frac{cotAcotB+1}{cotB-cotA}\), find the value of cot15°.

The maximum value of (sin¹² \(\theta\)+ cos²⁰ \(\theta\)) for all the real values of \(\theta\) is:

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

If 2 cot x = 5, then what is \(\frac{2 cos⁡x-sin⁡x}{2 cos⁡x+sin⁡x }\) equal to?

If sinθ - cosθ = 0, then find the value of (sin³θ - cos³θ).

For any acute angle θ, sin θ + sin² θ = 1 then the value of cos² θ + cos⁴ θ = ________.

The question given below consists of a statement and /or a question and two statements numbered I and II given below it. You have to decide whether the data provided in the statement(s) is/are sufficient to answer the given question.

Find the value of tanA + tanB + tanC

I. A, B, C are angles of a triangle

II. tri(ABC) is equilateral

What is the value of the expression?

(sec⁴θ + cosec²θ sec²θ – sec⁴ θ sin²θ – cosec²θ)/(tan²θ + 1)

Find the value of 3 tan²60° + 9 cosec²60° + cos 0°.

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

Which among the following is an irrational quantity?

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

Find Sin A + Sec A, if tan² A = 25/144

If sec A + tan A = m, find the value of sec A.

If sin² θ + 2cos² θ + 1 = 2, Find the value of θ.

If sec A = 5/3, find the value of 2tanAsinA.

If z = (secθ + 3) + i (2 – 4 cosθ), then what is the value |z| if z is purely real?

What is the argument for the complex number \((1+2i)\over(1-2i)\)?