What is 2(1+sec^2(pi/2-θ)) ?

The solution to 2(1+sec^2(pi/2-θ)) is 2(1+csc^2(θ))

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simplify 2(1+sec^2(pi/2-θ))

simplify

2 (1 + sec^{2} (\frac{π}{2} - θ))

2 (1 + csc^{2} (θ))

Solution steps

2 (1 + sec^{2} (\frac{π}{2} - θ))

Rewrite using trig identities

= 2 (1 + (\frac{1}{sin ( θ )})^{2})

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

= 2 (\frac{1}{sin ^{2} ( θ )} + 1)

Use the basic trigonometric identity:

\frac{1}{sin ( x )} = csc (x)

= 2 (1 + csc^{2} (θ))

cos (\frac{3}{9 t} - 7) + 3

(tan (x + 4 5^{\circ}))^{2}

- sin (x - 2 x)

3 cos (x + \frac{π}{2}) - 1

cot (arcsin (\frac{w - 1}{w + 2}))

What is 2(1+sec^2(pi/2-θ)) ?
The solution to 2(1+sec^2(pi/2-θ)) is 2(1+csc^2(θ))