If \(\frac{2 sin A - cos A}{sin A + cos A}\) = 1, then find the value of cot A.

The value of the expression 4(sin⁶A + cos⁶A) — 6(sin⁴A + cos⁴A) + 8 is:

If sin A = 2/3, then find the value of (7 - tan A) (3 + cos A).

If cotθ = \(\frac{9}{17}\) , find the value of cosec²θ.

If cotB = \(\frac{15}{8}\) where B is an acute angle, what is the value of sec B + tan B?

If cosec\(\theta =1 \frac{7}{22}\), find the value of cot²θ.

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

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

The value of \(\sqrt\frac{{1 + sin A}}{1 - sin A}\) is:

If cot²θ = 1 - e² , then the value of cosec θ + cot³θ sec θ is:

If sin 2A = cos 15°, then the smallest positive value of A is:

If cot⁴ A + cot² A = 1, then find the value of cos⁴ A - 3cos² A.

Cos⁴ A - sin⁴ A is equal to:

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

If sin (p + q) = 1 and cos (p - q) = \(\frac{\sqrt3}{2}\), find p.

If {(3sin θ – cos θ)/(cos θ + sin θ)} = 1, then the value of cot θ is:

If cos θ = √3/2, then tan²θcos²θ = ?

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

If Sint + Cost = \(\frac{4}{5}\) then, find Sint.Cost.

If sin (A - B) = \(\frac{1}{2}\), and sin(A + B) = 1, where A and B are positive acute angles and A \(\geq\) B, then A and B are respectively:

Evaluate: 8 sec² 45° + 20 sin ²30° + 15 tan 45°

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

If sin (a + b) = 1 and cos (a - b) = \(\frac{1}{2}\), then find a.

If tan \(\frac{π}{6}\) + sec \(\frac{π}{6}\) = x then find x.

Find the value of Sin²25 + Sin²65.

If tan \(\theta=\frac{4}{5}\), then secθ is:

Evaluate the following:.
sin 25° sin 65° – cos 25° cos 65°.

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

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

Find the value of cos47°sec133° + sin44°cosec136°.

The value of the expression [Cot1°. Cot2°. Cot3°. Cot4°. Cot5°.... Cot178° Cot179°]

If sinØ = \(\frac{4}{5}\). then find the value of tanØ - CotØ

Evaluate the following:
cos(36° + A).cos(36° − A) + cos(54° + A).cos(54° − A)

Simplify the expression; \(\frac{3-sin^2+cos^2A}{2+2cos^2A}\)

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

Select the incorrect formula from the following Options.

What is the value of sec²54° - cot²36° + \(\frac{3}{2}\) sin²37° × sec²53° + \(\frac{2}{\sqrt{3}}\)tan60°?

Using trigonometric formulas, find the value of \((\frac{sin(x-y)}{sin(x+y)})\) \((\frac{tan x + tan y}{tan x - tan y})\)

If sec² ø + tan² ø = \(\frac{25}{18}\), than the value of sec⁴ø - tan⁴ø is:

If a = cotA + cosa and b = cotA - cosA, then find the value of a² - b² - 4√ab.

Simplify the following:

sin 2x + 2 sin 4x + sin 6x

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

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

If acotθ + b cosecθ = p and b cot + a cosec = q then p² - q² is equal to

If secθ + tanθ = 5, ( θ ≠ 0 ), then secθ is equal to:

Find the value of the following expression.

12(sin⁴ \(\theta\) + cos⁴ \(\theta \)) + 18(sin⁶ \(\theta \) + cos⁶ \(\theta \)) + 78sin² \(\theta \) cos² \(\theta \)

If sin (5x - 25°) = cos(5y + 25°), where 5x - 25° and 5y + 25° are acute angles, then the value of (x + y) is:

If sec\(\theta\) + tan\(\theta\) = 5, then find the value of tan\(\theta\).

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

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