Question

find the value
cos
$find the value of cos(27\pi \div 4)$
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Answer 1

Find the Exact Value cos((27pi)/4)

cos(27π4)cos(27π4)

Remove full rotations of 2π2π until the angle is between 00 and 2π2π.

cos(3π4)cos(3π4)

Apply the reference angle by finding the angle with equivalent trig values in the first quadrant. Make the expression negative because cosine is negative in the second quadrant.

−cos(π4)-cos(π4)

The exact value of cos(π4)cos(π4) is √2222.

−√22-22

The result can be shown in multiple forms.

Exact Form:

−√22-22

Decimal Form:

-0.70710678

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