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Explain why they substituted cos(60) with 1/2 ?

(Look at image)

Explain why they substituted cos(60) with 1/2 ? (Look at image)-example-1

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Answer:

equals can be substituted anytime anywhere

Explanation:

cos(60°) = 1/2, so wherever one appears, the other can be substituted. This is allowed by the substitution property of equality.

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If you don't substitute at some point, you find the answer to be ...

x = 10/cos(60°)

Most of us are interested in a numerical value for x, so we prefer that cos(60°) be replaced by a numerical value.

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