What is the value of sec(arcsin(7/10)) ?

The value of sec(arcsin(7/10)) is (10sqrt(51))/(51)

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sec(arcsin(7/10))

sec (arcsin (\frac{7}{10}))

\frac{10 51}{51}

Decimal Notation

1.40028 \dots

Solution steps

sec (arcsin (\frac{7}{10}))

Rewrite using trig identities:

sec (arcsin (\frac{7}{10})) = \frac{1 - ( \frac{7}{10} ) ^{2}}{1 - ( \frac{7}{10} ) ^{2}}

Use the following identity:

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

= \frac{1 - ( \frac{7}{10} ) ^{2}}{1 - ( \frac{7}{10} ) ^{2}}

= \frac{1 - ( \frac{7}{10} ) ^{2}}{1 - ( \frac{7}{10} ) ^{2}}

Simplify

= \frac{10 51}{51}

\frac{( 1 sin ( 90.2 5 ^{\circ} ) )}{sin ( 3 7 ^{\circ} )}

arctan (\frac{8}{9.8} + 0.1)

arctan^{6} (\frac{4}{3})

\frac{sin ( 3 π )}{3}

cos (\frac{- 10 π}{3})

What is the value of sec(arcsin(7/10)) ?
The value of sec(arcsin(7/10)) is (10sqrt(51))/(51)