What is 1/(csc(x)+1)+1/(csc(x)-1) ?

The solution to 1/(csc(x)+1)+1/(csc(x)-1) is 2sec(x)tan(x)

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simplify 1/(csc(x)+1)+1/(csc(x)-1)

simplify

\frac{1}{csc ( x ) + 1} + \frac{1}{csc ( x ) - 1}

2 sec (x) tan (x)

Solution steps

\frac{1}{csc ( x ) + 1} + \frac{1}{csc ( x ) - 1}

Join

\frac{1}{csc ( x ) + 1} + \frac{1}{csc ( x ) - 1} : \frac{2 csc ( x )}{( csc ( x ) + 1 ) ( csc ( x ) - 1 )}

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

Simplify

(csc (x) + 1) (csc (x) - 1) : cot^{2} (x)

= \frac{2 csc ( x )}{cot ^{2} ( x )}

Express with sin, cos

= \frac{2 sin ( x )}{cos ^{2} ( x )}

Rewrite using trig identities

= 2 sec (x) tan (x)

- 0. 7^{2}

54 - 24 + 150

14. 5^{2}

(36)^{\frac{1}{2}}

(x^{2} + 3)^{6}

What is 1/(csc(x)+1)+1/(csc(x)-1) ?
The solution to 1/(csc(x)+1)+1/(csc(x)-1) is 2sec(x)tan(x)