If 2 Cot x = 5, then what is (2 Cos x - Sin x) / (2 Cos x + Sin x) equal to?

For any acute angle θ, sin²θ + cos²θ = 1. Then the value of cos²θ + cos⁴θ is:

If p sin A − cos A = 1, then p² − (1 + p²) cos A equals:

Evaluate the given expression. \[\frac{5}{1+\cot^2\theta} + \frac{3}{1+\tan^2\theta} + 2\cos^2\theta\]

Using
\[ \cot(A − B) = \frac{\cot A \cot B + 1}{\cot B − \cot A} \]
Find the value of cot 15°

If \[ \frac{\sec \alpha + \tan \alpha}{\sec \alpha - \tan \alpha} = \frac{7}{4}, \] then find the value of \( \csc \alpha \).

The greatest value of sin⁴θ + cos⁴θ is:

If (48° + k) is an acute angle and sin(48° + k) = cos13°, what is the value of k (in °)?

If A is an acute angle and tanA + cotA = 2, find the value of 7tan⁸A – 6cot⁸A + 8sec²A.

If 2 Cot x = 5, then what is (2 Cos x - Sin x) / (2 Cos x + Sin x) equal to?

For any acute angle θ, sin²θ + cos²θ = 1. Then the value of cos²θ + cos⁴θ is:

If p sin A − cos A = 1, then p² − (1 + p²) cos A equals:

Evaluate the given expression. \[\frac{5}{1+\cot^2\theta} + \frac{3}{1+\tan^2\theta} + 2\cos^2\theta\]