If cos A = \({15{} \over 17}\), 0 < A < 90°, then the value of Cot(90° - A) is:

If \(secθ - 2cosθ = {{7} \over 2}\), where θ is a positive acute angle, then the value of secθ is:

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

cot²A - cos²A is equal to:

tan(θ -14π) is equal to:

In ΔABC, ∠B = 90° and AB : BC = 1 : 2. The value of cos A + tan C is:

Find the value of (tan² θ + tan⁴ θ).

\(\cos^235^ \circ + \cos55^ \circ.\sin 35^\circ + \frac {\tan 34^\circ}{\cot 56^\circ}\) = _________________

If cosA = \(\frac{1}{11}\), then find the value of cot A.

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

Simplify the following.

cot13°.cot27°.cot45°.cot63°.cot77° = ?

If sec 2θ = cosec (θ – 36°), where 2θ is an acute angle, find the value of θ.

What is the value of \({{cos37°} \over sin53°}?\)

If 8cot \(\theta=6\), then the value of \(\frac{sin\theta+cos\theta}{sin\theta-cos\theta}\) is:

If  \({{k-kcot^230°} \over 1+cot^230°}\) \(=sin^260°+4tan^245°-cosec^260°\), then the value of k (correct to two decimal places) is:

Find the value of \(\frac{\cos37^0}{\sin53^0}\) - cos47° cosec 43°

In the right-angled triangle, ABC, \(\angle \)B = 90° and angle A and angle C are acute angles. If cosecA = \(2\sqrt{2}\), then find the value of sinA . cosC + cosA . sinC.

Simplify the following:\({\cos x- \sqrt{3}\sin x \over 2}\)

Find the value of \(\frac{sin^2 39^o+sin^2 (90^o-39^o)}{cos^2 35^o+cos^2(90^o-35^o)}+3tan15^otan75^o\):

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

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

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

If sin α + cos α = \(\frac {2}{\sqrt3}\), then what is (tan α + cot α) equal to?

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

If sinA + sin² A = 1, then the value of the expression (cos² A+ cos⁴ A) is __________

If \(\frac{cos θ}{(1+ sin θ)} + \frac{cos θ}{(1- sin θ)} \)  = 4 and θ is acute, then the value if θ is:

If tan A = \(\frac{2}{5}\) find the value of \(\frac{sec^2 A}{cosec^2 A}\).

If sin\(\theta\) + cos\(\theta\) = \(\sqrt{2}\) cos\(\theta\), then find \(\frac{sin\theta-cos\theta}{sin\theta}\):

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

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

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

If A + B = 90º, then the expression \(\frac{cot A}{cot B}\) + cos² A + cos² B is equal to:

The given expression is equal to:

\(\frac{(1+tan^2A)}{cosec^2 A.tanA}\)

What is the value of the expression \(\sin A(1+\frac{\sin A}{\cos A})+\cos A(1+\frac{\cos A}{\sin A})\)?

If sec θ - tan θ = m, then 2 tan θ = ?

The value of 2tan² 45° + cos² 30° - sin² 60° is:

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

If cos θ + sec θ = \(\sqrt 3\), then the value of cos³ θ+ sec³ θ is:

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

If sec A - tan A = p, then find the value of sec A.

If \(\sin\; \beta={{1} \over 3}, (sec\;\beta - \tan\;\beta)\)² is equal to:

If (sin θ - cos θ) = 0, then the value of sin(π - θ) + sin(\(\frac{π}{2}\)- θ) is:

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.

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

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

\(7 sin^2 A + 3 cos^2\)A = 4, then find cotA:

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

If cosec A + cot A = 3, 0 ≤ A ≤ 90⁰ , then find the value of cosA.