What is sec(arctan(6/5 x)) ?

The solution to sec(arctan(6/5 x)) is (sqrt(25+36x^2))/5

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simplify sec(arctan(6/5 x))

simplify

sec (arctan (\frac{6}{5} x))

\frac{25 + 36 x ^{2}}{5}

Solution steps

sec (arctan (\frac{6}{5} x))

Use the following identity:

sec (arctan (x)) = 1 + x^{2}

= 1 + (\frac{6}{5} x)^{2}

Simplify

= \frac{25 + 36 x ^{2}}{5}

sin (9 0^{\circ} - A)

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

sin (arccos (\frac{1}{π c}))

sin (θ) sin (\frac{π}{2} - θ)

25 + (5 tan (x))^{2}

What is sec(arctan(6/5 x)) ?
The solution to sec(arctan(6/5 x)) is (sqrt(25+36x^2))/5