Question

tanθ x cot(90-θ) - secθ x cosec(90-θ) 


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Answer 1

Answer:

-1

Step-by-step explanation:

tanθ×cot(90-θ)-secθ×cosec(90-θ)

=tanθ×tanθ-secθ×secθ           ( As cot(90-θ)=tanθ and cosec(90-θ)=secθ)

=tan²θ-sec²θ

=-1               ( As sec²θ-tan²θ=1   ⇒-sec²θ+tan²θ=-1 or tan²θ-sec²θ =-1)