In ΔABC θ is an acute angle and tanθ is equal to three times of cotθ. Find the value of $$ {sin^{2}θ+cosec^{2}θ-{1\over 2}cot^{2}θ}$$.

If $$ {sin\ θ\ cosec\  θ\over tan θ}=4 $$  then Find the value of tan θ ?

$$ {tan7°tan23°tan60°tan67°tan83°}$$ is equal to-

If a(tanθ+cotθ)=1, sinθ+cosθ=b and 0°<θ<90°, then the relation between a and b.

If $$ {cot A={n\over{n+1}}}$$ and $$ {cot B={1\over{2n+1}}}$$ then what is the value of cot (A + B)?

If is a positive acute angle and 5 cosθ + 12 sinθ = 13, then find the value of cosθ?

If $$ {1+sinθ\over {1-sinθ}}={p^{2}\over{q^{2}}}$$, then sec θ is equal to:

Find the minimum value of $$ {25 cosec^{2}θ +25sin^{2}θ}$$