What is the value of tan(arcsin(-12/13)) ?

The value of tan(arcsin(-12/13)) is -12/5

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tan(arcsin(-12/13))

tan (arcsin (- \frac{12}{13}))

- \frac{12}{5}

Decimal Notation

- 2.4

Solution steps

tan (arcsin (- \frac{12}{13}))

Rewrite using trig identities:

tan (arcsin (- \frac{12}{13})) = \frac{( - \frac{12}{13} ) 1 - ( - \frac{12}{13} ) ^{2}}{1 - ( - \frac{12}{13} ) ^{2}}

Use the following identity:

tan (arcsin (x)) = \frac{x 1 - x ^{2}}{1 - x ^{2}}

= \frac{( - \frac{12}{13} ) 1 - ( - \frac{12}{13} ) ^{2}}{1 - ( - \frac{12}{13} ) ^{2}}

= \frac{( - \frac{12}{13} ) 1 - ( - \frac{12}{13} ) ^{2}}{1 - ( - \frac{12}{13} ) ^{2}}

Simplify

= - \frac{12}{5}

10 sin (1 0^{\circ})

sec (\frac{π}{2}) + tan (\frac{π}{2})

arccsc (\frac{5}{3})

10 cos (- 3 0^{\circ})

2 + cos (0)

What is the value of tan(arcsin(-12/13)) ?
The value of tan(arcsin(-12/13)) is -12/5