3 years ago

Find an exact value cos 75°

Mathematics

2 answers:

Drupady [299]3 years ago

5 0

Answer:

0.2588

Step-by-step explanation:

Vikentia [17]3 years ago

4 0

Answer:

(√3 - 1) / 2√2.

Step-by-step explanation:

Using the compound angle identity

cos(A + B) = cosA cosB - sinA sinB:-

cos 75

= cos (45 + 30)

= cos 45 cos 30 - sin 45 sin 30

= 1 / √2 * √3/2 - 1 / √2 * 1 / 2

= √3 / 2√2 - 1 / 2√2

= (√3 - 1) / 2√2.

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