Given A = 60° and B = 30°, prove that : sin (A + B) = sin A cos B + cos A sin B

sin (A + B) = sin A cos B + cos A sin B L.H.S. = sin (A + B) = sin (60° + 30°) = sin 90° = 1 R.H.S. = sin A cos B + cos A sin B = sin 60° cos 30° + cos 60° sin 30° ∴ L.H.S. = R.H.S. Hence, sin (A + B) = sin A cos B + cos A sin B.

If A = 30°, then cos⁴ A - sin⁴ A is equal to :
sin 60°
tan 60°
cot 60°
cos 60°

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If A = 45° ; then 2 sin A cos A is equal to :
1
0
-1
2

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Given A = 60° and B = 30°, prove that :
cos (A + B) = cos A cos B - sin A sin B

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Given A = 60° and B = 30°, prove that :
cos (A - B) = cos A cos B + sin A sin B

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Mathematics

Given A = 60° and B = 30°, prove that :
sin (A + B) = sin A cos B + cos A sin B

Trigonometric Identities

Related Questions

If A = 30°, then cos⁴ A - sin⁴ A is equal to :
sin 60°
tan 60°
cot 60°
cos 60°

If A = 45° ; then 2 sin A cos A is equal to :
1
0
-1
2

Given A = 60° and B = 30°, prove that :
cos (A + B) = cos A cos B - sin A sin B

Given A = 60° and B = 30°, prove that :
cos (A - B) = cos A cos B + sin A sin B

Mathematics

Given A = 60° and B = 30°, prove that :sin (A + B) = sin A cos B + cos A sin B

Trigonometric Identities

Related Questions

If A = 30°, then cos4 A - sin4 A is equal to :sin 60°tan 60°cot 60°cos 60°

If A = 45° ; then 2 sin A cos A is equal to :10-12

Given A = 60° and B = 30°, prove that :cos (A + B) = cos A cos B - sin A sin B

Given A = 60° and B = 30°, prove that :cos (A - B) = cos A cos B + sin A sin B

Given A = 60° and B = 30°, prove that :
sin (A + B) = sin A cos B + cos A sin B

If A = 30°, then cos⁴ A - sin⁴ A is equal to :
sin 60°
tan 60°
cot 60°
cos 60°

If A = 45° ; then 2 sin A cos A is equal to :
1
0
-1
2

Given A = 60° and B = 30°, prove that :
cos (A + B) = cos A cos B - sin A sin B

Given A = 60° and B = 30°, prove that :
cos (A - B) = cos A cos B + sin A sin B