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Find the values of: cos 75°

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Question

Find the values of:

cos 75°

Sum
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Solution

cos 75° = cos(45° + 30°)

= cos 45° cos 30° – sin 45° sin 30°

= `1/sqrt(2)* sqrt(3)/2 - 1/sqrt(2)*1/2`

= `sqrt(3)/(2sqrt(2)) - 1/(2sqrt(2)`

= `(sqrt(3) - 1)/(2sqrt(2)`

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Chapter 3: Trigonometry - 2 - Exercise 3.1 [Page 39]

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