What is the value of sec(arcsin(15/17)) ?

The value of sec(arcsin(15/17)) is 17/8

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sec(arcsin(15/17))

sec (arcsin (\frac{15}{17}))

\frac{17}{8}

Decimal Notation

2.125

Solution steps

sec (arcsin (\frac{15}{17}))

Rewrite using trig identities:

sec (arcsin (\frac{15}{17})) = \frac{1 - ( \frac{15}{17} ) ^{2}}{1 - ( \frac{15}{17} ) ^{2}}

Use the following identity:

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

= \frac{1 - ( \frac{15}{17} ) ^{2}}{1 - ( \frac{15}{17} ) ^{2}}

= \frac{1 - ( \frac{15}{17} ) ^{2}}{1 - ( \frac{15}{17} ) ^{2}}

Simplify

= \frac{17}{8}

\frac{1}{cos ( - 70.5 3 ^{\circ} )}

- 6 sin (π)

sin (21. 8^{\circ})

1 - cos (1 5^{\circ})

2 sin (2) (\frac{π}{6})

What is the value of sec(arcsin(15/17)) ?
The value of sec(arcsin(15/17)) is 17/8