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4 years ago

What is the exact value of cos (67.5° )?

Mathematics

1 answer:

Brilliant_brown [7]4 years ago

6 0

Answer:

0.38268343

Step-by-step explanation:

cos( 67.5 )

Rewrite

67.5

as an angle where the values of the six trigonometric functions are known divided by 2 . cos ( 135\ 2)

Apply the cosine half-angle identity.

√

cos

(

135

)

Change the

because cosine is positive in the first quadrant.

√

cos

(

135

)

Simplify

√

cos

(

135

)

√

−

√

The result can be shown in multiple forms.

Exact Form:

√

−

√

Decimal Form:

0.38268343

…

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