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

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

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sec(arcsin(8/17))

sec (arcsin (\frac{8}{17}))

\frac{17}{15}

Decimal Notation

1.13333 \dots

Solution steps

sec (arcsin (\frac{8}{17}))

Rewrite using trig identities:

sec (arcsin (\frac{8}{17})) = \frac{1 - ( \frac{8}{17} ) ^{2}}{1 - ( \frac{8}{17} ) ^{2}}

Use the following identity:

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

= \frac{1 - ( \frac{8}{17} ) ^{2}}{1 - ( \frac{8}{17} ) ^{2}}

= \frac{1 - ( \frac{8}{17} ) ^{2}}{1 - ( \frac{8}{17} ) ^{2}}

Simplify

= \frac{17}{15}

tan (\frac{29 π}{4})

52 (tan (3 9^{\circ}))

arctan (\frac{5.22}{9.81} + 0.5)

arctan (\frac{3.57}{5.22})

650 sin (2 6^{\circ})

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