If cos(2θ+54°) = sinθ, 0°<(2θ-54°)<90°, then what is the value of $$1\over tan5θ+cosec{5θ\over 2}$$   

$$\left({1\over cosecθ}-{1\over sinθ} \right)+{1\over {cosecθ-cotθ}} -{1\over secθ+tanθ} =?$$

Find the value of tan 27⁰ tan34⁰ + tan34⁰ tan29⁰ + tan29⁰ tan27⁰.

Find the exact value of cos 120⁰.

In ∆PQR, ∠Q=90°. If cot $$R={1\over 3}$$, then what is the value of $${secP(cosR+sinP)\over cosec \ R(sinR-cosecP)} $$?

If x = a secθ cos∅, y = b secθ sin∅, z=c tanθ, then the value of $$ {x^2\over a^2}+{y^2\over b^2}-{z^2\over c^2} $$

△ABC is right-angle triangle at B and tan A = $$3\over 4$$, then sin A + sin B + sin C will be equal to:

What is the value of cosecA(1 − cosA)(cosecA + cotA)?