What is (csc(x)+1)(cot(x)sec(x)-1) ?

The solution to (csc(x)+1)(cot(x)sec(x)-1) is cot^2(x)

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simplify (csc(x)+1)(cot(x)sec(x)-1)

simplify

(csc (x) + 1) (cot (x) sec (x) - 1)

cot^{2} (x)

Solution steps

(csc (x) + 1) (cot (x) sec (x) - 1)

cot (x) sec (x) = csc (x)

= (csc (x) + 1) (csc (x) - 1)

Express with sin, cos

= \frac{( 1 + sin ( x ) ) ( 1 - sin ( x ) )}{sin ^{2} ( x )}

Rewrite using trig identities

= cot^{2} (x)

sin (arctan (u))

tan (2 π + θ)

- 3 cos (x - \frac{π}{2})

- sin (θ - 9 0^{\circ})

cos^{2} (π - x)

What is (csc(x)+1)(cot(x)sec(x)-1) ?
The solution to (csc(x)+1)(cot(x)sec(x)-1) is cot^2(x)