Verify the identity:

cos (a+B) / cos a sin B = cot B - tan a

Question

Raegan Singh

Mathematics

29 May, 15:29

Verify the identity:

cos (a+B) / cos a sin B = cot B - tan a

+5

Answers (1)

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Kyle Kim · Answer 1

Cos (A + B) = cosAcosB - sinAsinB;

cos (A + B) / (cosAsinB) = (cosAcosB - sinAsinB) / (cosAsinB) = (cosAcosB) / (cosAsinB) - (sinAsinB) / (cosAsinB) = cosB / sinB - sinA / cosA = cotB - tanA;

Verify the identity:cos (a+B) / cos a sin B = cot B - tan a

Verify the identity:

cos (a+B) / cos a sin B = cot B - tan a