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

The value of sec(arctan(-3/5)) is (sqrt(34))/5

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sec(arctan(-3/5))

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

\frac{34}{5}

Decimal Notation

1.16619 \dots

Solution steps

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

Rewrite using trig identities:

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

Use the following identity:

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

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

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

Simplify

= \frac{34}{5}

arctan (\frac{14}{8})

arccot (- 2)

9.8 sin (3 0^{\circ})

sin (22.6 2^{\circ})

2 sin (4 0^{\circ})

What is the value of sec(arctan(-3/5)) ?
The value of sec(arctan(-3/5)) is (sqrt(34))/5