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Answer:
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,
⇒
⇒
⇒
⇒ ...<em>rationalizing </em>
⇒
⇒ ...<em>taking 2 as a common factor</em>
<em>⇒ </em>
To find the exact values we have to put the values of sq-rt .
As<em>, </em> and
Then
<em>⇒ </em><em />
<em>⇒ </em><em />
⇒
So the exact value of Cos(45° - 60°) is 0.96 using difference of two angles.