"Administrative Discretion" should always be guided

If tanθ + secθ = 5, find the value of sinθ.

What is the value of [(sin x + sin y) (sin x – sin y)]/[(cosx + cosy) (cosy – cosx)]?

What is the simplified value of the given expression?

3(sin² 30° + sin² 60°) + 6sin 45° - (3sec 60° + cot 45°)

Find the value of the given trigonometric expression:

(sin 10°cos 80° + cos²10°) × sin 30° + (cos 60°tan 45°) × sec 60°

If √3 tan x = 3, then the value of x:

If sec x + tan x = 11 then find secx?

If cos 2A = 1, then find cos A

If sec A + tan A = 7 and sec A - tan A = (1/7), find the value of cos A.