What is sec(45pi+x)cot(24pi-x) ?

The solution to sec(45pi+x)cot(24pi-x) is csc(x)

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simplify sec(45pi+x)cot(24pi-x)

simplify

sec (45 π + x) cot (24 π - x)

csc (x)

Solution steps

sec (45 π + x) cot (24 π - x)

Rewrite using trig identities

= (- \frac{1}{cos ( x )}) cot (24 π - x)

Rewrite using trig identities

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

Simplify

(- \frac{1}{cos ( x )}) (- \frac{cos ( x )}{sin ( x )}) : \frac{1}{sin ( x )}

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

Rewrite using trig identities

= csc (x)

\frac{1}{1 + tan ^{2} ( x )}

csc (27 0^{\circ} + x)

tan (2 (x - \frac{π}{2})) + 1

cos (θ - \frac{π}{4})

tan (arcsec (\frac{x}{0.1}))

What is sec(45pi+x)cot(24pi-x) ?
The solution to sec(45pi+x)cot(24pi-x) is csc(x)