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If tan 4θ = cot 14θ, then find the value of cos 9θ.

If P, Q, R, S are the vertex of a cyclic quadrilateral. Find the value of

`1/sec p` + `1/sec q` + `1/sec r` +`1/sec s`

If sin x + cos x = √2 sin x, then the value of sin x - cos x is:

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

If secθ + tanθ = 5/2 for an acute angle θ, find sinθ.

2 × Tan 30° / (1 + Tan² 30°) equals: 

Find the maximum value of 14 sin A + 24 cos A.

If sec(2A + B) = 2 and cos(A + B) = (1/√2) , find the value of {sec 2B + tan (A + B) } given that 0^o < A, B < 90^o