Question

simplify tan(90-theeta)sec(180-theeta)sin(-theeta)/sin(180+theeta)cot(360+theeta)cosec(90-theeta)

Answer 1

Answer:-

$\frac{tan(90 -θ).sec(180 - θ). sin( -θ ) }{ sin(180 +θ ). cot(360 + θ). cosec(90 -θ ) } \\ = \frac{cotθ \times ( - secθ) \times ( - sinθ)}{( - sinθ) \times cotθ \times secθ} \\ = ( - 1)$