What is sin(θ-(9pi)/2)sec(θ-7pi) ?

The solution to sin(θ-(9pi)/2)sec(θ-7pi) is 1

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simplify sin(θ-(9pi)/2)sec(θ-7pi)

simplify

sin (θ - \frac{9 π}{2}) sec (θ - 7 π)

1

Solution steps

sin (θ - \frac{9 π}{2}) sec (θ - 7 π)

Rewrite using trig identities

= (- cos (θ)) sec (θ - 7 π)

Rewrite using trig identities

= (- cos (θ)) (- \frac{1}{cos ( θ )})

(- cos (θ)) (- \frac{1}{cos ( θ )}) = 1

= 1

tan (θ + 18 0^{\circ})

sin (\frac{1}{3} x - \frac{π}{4})

cos (\frac{nπ}{2}) - cos (nπ)

1 - 2 cos (3 x - π)

\frac{x + π}{cos ( x + π )}

What is sin(θ-(9pi)/2)sec(θ-7pi) ?
The solution to sin(θ-(9pi)/2)sec(θ-7pi) is 1