What is the value of sec(arcsin(20/29)) ?

The value of sec(arcsin(20/29)) is 29/21

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sec(arcsin(20/29))

sec (arcsin (\frac{20}{29}))

\frac{29}{21}

Decimal Notation

1.38095 \dots

Solution steps

sec (arcsin (\frac{20}{29}))

Rewrite using trig identities:

sec (arcsin (\frac{20}{29})) = \frac{1 - ( \frac{20}{29} ) ^{2}}{1 - ( \frac{20}{29} ) ^{2}}

Use the following identity:

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

= \frac{1 - ( \frac{20}{29} ) ^{2}}{1 - ( \frac{20}{29} ) ^{2}}

= \frac{1 - ( \frac{20}{29} ) ^{2}}{1 - ( \frac{20}{29} ) ^{2}}

Simplify

= \frac{29}{21}

arctan (\frac{5}{5.1})

3 (sin (54.7 3^{\circ})) (sin (4 5^{\circ}))

arctan (- 2.5)

sin (3 0^{\circ}) \cdot 4

\frac{1}{sin ( 2 )}

What is the value of sec(arcsin(20/29)) ?
The value of sec(arcsin(20/29)) is 29/21