What is (tan(x))/(csc(x))+1/(sec(x)) ?

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

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simplify (tan(x))/(csc(x))+1/(sec(x))

simplify

\frac{tan ( x )}{csc ( x )} + \frac{1}{sec ( x )}

sec (x)

Solution steps

\frac{tan ( x )}{csc ( x )} + \frac{1}{sec ( x )}

Use the basic trigonometric identity:

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

= \frac{1}{sec ( x )} + tan (x) sin (x)

Express with sin, cos

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

Rewrite using trig identities

= sec (x)

20 \cdot 1 0^{- 6}

(s + 1) (s + 2) (s + 4)

1 0^{2} \cdot 1 0^{3}

4 \frac{2}{3} \div 7

- 3 + (- 8)

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