What is csc(θ-(3pi)/2) ?

The solution to csc(θ-(3pi)/2) is sec(θ)

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simplify csc(θ-(3pi)/2)

simplify

csc (θ - \frac{3 π}{2})

sec (θ)

Solution steps

csc (θ - \frac{3 π}{2})

Rewrite using trig identities

= \frac{1}{cos ( θ )}

Rewrite using trig identities

= sec (θ)

sin (54 0^{\circ} - θ)

sin (nπ - mπ)

sin (\frac{a}{2} + \frac{a}{2})

\frac{1}{cos ( θ ) tan ( - θ )}

(- 10 sec (θ))^{2} - 100