If tanx = cot(50+3x), then what is the value of x ?

$$(1+tan θ+secθ)(1+cotθ-cosecθ)\over (sec θ+tan θ)(1-sin θ) $$ is equal to :

(sinθ+cosecθ)²+(cos θ+ sec θ)²=?

(sec A + tan A – 1) (sec A – tan A+1) =?

Evaluate the following.

sin 25° sin 65° – cos 25° cos 65°.

$${sin^2θ\over cosθ(1+cosθ)}+{1+cosθ\over cosθ} =?$$

If sin²a = cos³a then the value of cot⁶ a – cot²a? 

If secθ + tanθ = 3, then the value of secθ is: