What is the value of cos(arctan(11/60)) ?

The value of cos(arctan(11/60)) is 60/61

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cos(arctan(11/60))

cos (arctan (\frac{11}{60}))

\frac{60}{61}

Decimal Notation

0.98360 \dots

Solution steps

cos (arctan (\frac{11}{60}))

Rewrite using trig identities:

cos (arctan (\frac{11}{60})) = \frac{1 + ( \frac{11}{60} ) ^{2}}{1 + ( \frac{11}{60} ) ^{2}}

Use the following identity:

cos (arctan (x)) = \frac{1 + x ^{2}}{1 + x ^{2}}

= \frac{1 + ( \frac{11}{60} ) ^{2}}{1 + ( \frac{11}{60} ) ^{2}}

= \frac{1 + ( \frac{11}{60} ) ^{2}}{1 + ( \frac{11}{60} ) ^{2}}

Simplify

= \frac{60}{61}

500 sin (2 0^{\circ})

36 sin (6 0^{\circ})

sin (24 0^{\circ}) + sin (22 5^{\circ}) + cos (31 5^{\circ})

12 sin (9 0^{\circ})

\frac{12 sin ( 12. 9 ^{\circ} )}{sin ( 10 0 ^{\circ} )}

What is the value of cos(arctan(11/60)) ?
The value of cos(arctan(11/60)) is 60/61