What is the value of sec(arctan(3/(sqrt(2)))) ?

The value of sec(arctan(3/(sqrt(2)))) is sqrt(11/2)

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sec(arctan(3/(sqrt(2))))

sec (arctan (\frac{3}{2}))

\frac{11}{2}

Decimal Notation

2.34520 \dots

Solution steps

sec (arctan (\frac{3}{2}))

Rewrite using trig identities:

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

Use the following identity:

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

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

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

Simplify

= \frac{11}{2}

2.6 \cdot 0.11 \cdot sin (5 0^{\circ})

cos^{3} (4)

cos (49. 5^{\circ})

15 sin (3 1^{\circ})

- (200) (0.2 + 0.125 sin (2 0^{\circ}))

What is the value of sec(arctan(3/(sqrt(2)))) ?
The value of sec(arctan(3/(sqrt(2)))) is sqrt(11/2)