What is tan(90-x)sec(x) ?

The solution to tan(90-x)sec(x) is csc(x)

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simplify tan(90-x)sec(x)

simplify

tan (9 0^{\circ} - x) sec (x)

csc (x)

Solution steps

tan (9 0^{\circ} - x) sec (x)

Rewrite using trig identities

= \frac{cos ( x )}{sin ( x )} sec (x)

Multiply fractions:

a \cdot \frac{b}{c} = \frac{a \cdot b}{c}

= \frac{cos ( x ) sec ( x )}{sin ( x )}

Express with sin, cos

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

Rewrite using trig identities

= csc (x)

40 sin (20 π t - \frac{π}{6})

tan (- cot (x))

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

8 cos (x + π) cos (x - π)

- cos (nπ) - cos (π)