What is 2sec^2(pi/2-θ) ?

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

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simplify 2sec^2(pi/2-θ)

simplify

2 sec^{2} (\frac{π}{2} - θ)

2 csc^{2} (θ)

Solution steps

2 sec^{2} (\frac{π}{2} - θ)

Rewrite using trig identities

= 2 (\frac{1}{sin ( θ )})^{2}

Simplify

2 (\frac{1}{sin ( θ )})^{2} : \frac{2}{sin ^{2} ( θ )}

= \frac{2}{sin ^{2} ( θ )}

Rewrite using trig identities

= 2 csc^{2} (θ)

sin (- 7 x)

\frac{csc ( - sin ( x ) )}{cot ( x )}

cos (- θ) tan (- θ) csc (- θ)

cos (6 0^{\circ} - θ)

10 cos (2 t + \frac{π}{4})