What is sin(arctan(x/7)) ?

The solution to sin(arctan(x/7)) is (xsqrt(49+x^2))/(49+x^2)

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simplify sin(arctan(x/7))

simplify

sin (arctan (\frac{x}{7}))

\frac{x 49 + x ^{2}}{49 + x ^{2}}

Solution steps

sin (arctan (\frac{x}{7}))

Use the following identity:

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

= \frac{( \frac{x}{7} ) 1 + ( \frac{x}{7} ) ^{2}}{1 + ( \frac{x}{7} ) ^{2}}

Simplify

= \frac{x 49 + x ^{2}}{49 + x ^{2}}

sin (A - π) - cos (A - π)

- sin (- θ)

sin (arccos (\frac{x}{10}))

sin^{2} (6 0^{\circ} + x)

2 sin (1500 t - (\frac{π}{2}))

What is sin(arctan(x/7)) ?
The solution to sin(arctan(x/7)) is (xsqrt(49+x^2))/(49+x^2)