If 30sin4theta; + 45

if cot x- tan x=7 then what is the value of cot x + tan x=?

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 cos(2θ) = 1 - 2sin²(θ) and tan(θ) + cot(θ) = k, find the value of k when sin(θ) = 3/5.

If tan θ = 8/3 , then the value of (3Sinθ+2 Cosθ )/(3 Sinθ-2Cosθ) is

Find the simplified value of:

If 7sin²θ + 3cos²θ = 4, then find the value of θ?

If 2cosθ + 8sin²θ = 11, where 0^o < θ < 90^o, then find the value of cot θ. 

If sin A = 3/5 and cos B = 4/5, where A and B are acute angles, find the value of sin(A + B).

∆ PQR is right-angled at Q. If ∠R = 60º, then find the value of cosec P.