Which expression is equivalent to Cosine (StartFraction pi Over 12 EndFraction) cosine (StartFraction 5 pi Over 12 EndFraction) + sine (StartFraction pi Over 12 EndFraction) sine (StartFraction 5 pi Over 12 EndFraction)?

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Answer:

A. cos( [tex]-\frac{\pi}{3}[/tex])

Step-by-step explanation:

Typed the all the expressions into desmos and picked the ones that matched

The expression cos (π/12)cos(5π/12) + sin (π/12)sin(5π/12) is equivalent to expression cos( π/3).

What is a Trigonometric Ratios?

Trigonometric Ratios are ratios of the side of a right angled triangle. These are used to find the missing sides and angles of a right angled triangle.

The trigonometric expression is

⇒cos (π/12)cos(5π/12) + sin (π/12)sin(5π/12)

The trigonometric formula of cos (x-y) =  cosx cosy +sinx siny

Here x = π/12 and y = 5π/12

cos (π/12)cos(5π/12) + sin (π/12)sin(5π/12) = cos ( π/12 - 5π/12)

=cos( -π/3)

= cos( π/3)

To know more about Trigonometric Ratios

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