Which among the following is the largest phylum of

If sec A + tan A = 4 and sec A - tan A = (1/4), find the value of cos A.

If 1 + sin 2θ = p² and sin³ θ + cos³ θ = q then Which of the following is true ? 

Suppose 140sin²X + 124cos²X = 136 and 184sin²Y + 200cos²Y = 196, then determine the value of 18cosec²Xsec²Y.

If cosec (2A + B) = 1 and cosec (A + B) = (2/√3), find the value of (4A – B).

Find the value of the given expression.

2 × (sec 60° – sin 30°)

What is the value of [(tan 5θ + tan 3θ)/4 cos 4θ (tan 5θ – tan 3θ)]?

If cos²α + cos²β = 2, then the value of tan⁴α + sin⁸β is

Find the value of the given expression.

3 × (sin 30° + cos 60°)