Evaluate: cot 40°/ tan 50° - 1/2(cos 35°/ sin 55°)

Question

Evaluate:

\(\frac{cot\, 40°}{tan\, 50°} - {\frac{1}{2}({{cos\, 35°}\over{sin\, 55°}}})\)

Answer 1

We have, 

[∵ cot (90 – θ) = tan θ and cos (90 – θ) = sin θ]

= 1 – \(\frac{1}{2}\)(1) 

= \(\frac{1}{2}\)