What is the value of sec(arcsin(-3/5)) ?

The value of sec(arcsin(-3/5)) is 5/4

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sec(arcsin(-3/5))

sec (arcsin (- \frac{3}{5}))

\frac{5}{4}

Decimal Notation

1.25

Solution steps

sec (arcsin (- \frac{3}{5}))

Rewrite using trig identities:

sec (arcsin (- \frac{3}{5})) = \frac{1 - ( - \frac{3}{5} ) ^{2}}{1 - ( - \frac{3}{5} ) ^{2}}

Use the following identity:

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

= \frac{1 - ( - \frac{3}{5} ) ^{2}}{1 - ( - \frac{3}{5} ) ^{2}}

= \frac{1 - ( - \frac{3}{5} ) ^{2}}{1 - ( - \frac{3}{5} ) ^{2}}

Simplify

= \frac{5}{4}

sin (- 157.3 8^{\circ})

arcsin (0.38)

arccos (\frac{1}{26})

10 sin (2 5^{\circ})

50 cos (3 7^{\circ})