if cos(a+b)=cosA cos B -sinA sin B find the value of cos 75
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Answer:
(√6 - √2)/4
Step-by-step explanation:
cos 75 = cos(30+45)
= cos30•cos45 - sin30•sin45
= √3/2 • 1/√2 - 1/2 • 1/√2
= (√3-1)/(2√2)
(multiplying numerator and denominator by √2)
cos75 = (√6 - √2)/4
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