Use the formula for the cosine of the difference of two angles to find the exact value of the following expression.
Cos(45° - 60°)

Exact value of Cos(45° - 60°) is 0.96 using difference of two angles.

Step-by-step explanation:

Given:

Cos(45° - 60°)

We have to apply the formula of cosine for difference of the two angles.

Formula:

Plugging the values.

⇒

We know that the values :

 and  

So,

⇒

⇒

⇒

⇒  ...rationalizing

⇒

⇒       ...taking 2 as a common factor

⇒

To find the exact values we have to put the values of sq-rt .

As,     and  

Then

⇒

⇒

⇒

So the exact value of Cos(45° - 60°) is 0.96 using difference of two angles.

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step-by-step explanation: