What is sin(t+2pi)*sec(t+2pi) ?

The solution to sin(t+2pi)*sec(t+2pi) is tan(t)

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simplify sin(t+2pi)*sec(t+2pi)

simplify

sin (t + 2 π) \cdot sec (t + 2 π)

tan (t)

Solution steps

sin (t + 2 π) sec (t + 2 π)

Rewrite using trig identities

= sin (t) sec (t + 2 π)

Rewrite using trig identities

= sin (t) \frac{1}{cos ( t )}

Simplify

sin (t) \frac{1}{cos ( t )} : \frac{sin ( t )}{cos ( t )}

= \frac{sin ( t )}{cos ( t )}

Rewrite using trig identities

= tan (t)

\frac{2 csc ( 2 t )}{csc ( - t )}

cos (27 0^{\circ} - θ)

- cos (n (- π))

sin (2 (\frac{π}{2} - x))

cos^{2} (\frac{π}{2} - x)