What is tan(arcsin(x/7)) ?

The solution to tan(arcsin(x/7)) is (xsqrt(49-x^2))/(49-x^2)

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simplify tan(arcsin(x/7))

simplify

tan (arcsin (\frac{x}{7}))

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

Solution steps

tan (arcsin (\frac{x}{7}))

Use the following identity:

tan (arcsin (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 (arccos (\frac{3}{x}))

cos (- 4 t)

25 - (5 sin (θ))^{2}

sin (π t + π)

- cos (4 x - 7 x)

What is tan(arcsin(x/7)) ?
The solution to tan(arcsin(x/7)) is (xsqrt(49-x^2))/(49-x^2)