Question

Cosec(65°-theta)-sec(25°-theta)-tan(55°+theta)+cot(35°-theta)

Answer 1

We can write Cosec(65) as sec(25) because cosecΦ= sec(90-Φ) and cot(35) as tan(55) because cotΦ= tan(90-Φ)
So,
Cosec(65)-sec(25)-tan(55)+cot(35)
will be
sec(25)-sec(25)-tan(55)+tan(55)=0
So, your answer is 0

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