What is the value of sec(arctan(7/8)) ?

The value of sec(arctan(7/8)) is (sqrt(113))/8

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sec(arctan(7/8))

sec (arctan (\frac{7}{8}))

\frac{113}{8}

Decimal Notation

1.32876 \dots

Solution steps

sec (arctan (\frac{7}{8}))

Rewrite using trig identities:

sec (arctan (\frac{7}{8})) = 1 + (\frac{7}{8})^{2}

Use the following identity:

sec (arctan (x)) = 1 + x^{2}

= 1 + (\frac{7}{8})^{2}

= 1 + (\frac{7}{8})^{2}

Simplify

= \frac{113}{8}

cos^{4} (\frac{π}{2})

cos (11 2^{\circ})

- sin (\frac{5 π}{2})

arccos (\frac{13}{41 \cdot 34})

\frac{cos ( 3 )}{3}

What is the value of sec(arctan(7/8)) ?
The value of sec(arctan(7/8)) is (sqrt(113))/8