cos 100°.cos 40° + sin 100°.sin 40°
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Answer:
cosA cosB + sinA sinB = cos(A-B)
cos100°.cos40° + sin100°.sin40°
= cos(100°-40°)
= cos(60°)
= 1/2
=> cos100°.cos40° + sin100°.sin40° = 1/2
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