Question

Evaluate:

cosec (65 + θ ) – sec (25 – θ ) – tan (55 – θ ) + cot (35 + θ)

Answer 1

cosec (65 + θ ) = sec (90 – (65 + θ )) = sec (25 – θ )
tan (55 – θ ) = cot (90 – (55 – θ ) = cot (35 + θ )
⇒ sec (25 – θ ) – sec (25 – θ ) tan (55 – θ ) + tan (55 – θ ) = 0