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

The solution to cos(x)sec(90-x) is cot(x)

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simplify cos(x)sec(90-x)

simplify

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

cot (x)

Solution steps

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

Rewrite using trig identities

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

Simplify

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

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

Rewrite using trig identities

= cot (x)

sin (π - x) - sin (x)

cos (a + 3 0^{\circ})

7 x^{5} cos (- 3 + 1)

sin (x + 12 0^{\circ})

tan (arcsec (\frac{x}{5}))