What is (sec^2(x)-1)/(sec(x)-1) ?

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

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simplify (sec^2(x)-1)/(sec(x)-1)

simplify

\frac{sec ^{2} ( x ) - 1}{sec ( x ) - 1}

sec (x) + 1

Solution steps

\frac{sec ^{2} ( x ) - 1}{sec ( x ) - 1}

Factor

sec^{2} (x) - 1 : (sec (x) + 1) (sec (x) - 1)

= \frac{( sec ( x ) + 1 ) ( sec ( x ) - 1 )}{sec ( x ) - 1}

Cancel the common factor:

sec (x) - 1

= sec (x) + 1

\frac{3}{14 x} + \frac{9}{10 x ^{2}}

- 2 x (6 x^{2} + 7 x + 2)

6 x^{3} - 9 x^{2} + 4 x - 6

1 \times 1 0^{5}

4 x - 3 x - 2 x

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