Math, asked by kavyakammari924, 9 months ago

given cos15degree =√3+1/2√2 is it true that cos (45degree-30degree)=cos45degree cos30degree+sin45degreesin30degree

Answers

Answered by udayagrawal49
0

Answer:

Yes, it is true that cos(45°-30°) = cos45°cos30°+sin45°sin30°

Step-by-step explanation:

Given: cos15° = \frac{\sqrt{3}+1}{2\sqrt{2}}

Consider, cos(45°-30°) = cos45°cos30°+sin45°sin30°

⇒ cos(45°-30°) = \frac{1}{\sqrt{2}}×\frac{\sqrt{3}}{2}+\frac{1}{\sqrt{2}}×\frac{1}{2}

⇒ cos15° = \frac{\sqrt{3}+1}{2\sqrt{2}}

Hence Proved

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