Question

sin15ºcos30° + cos15°sin30º =​

Answer 1

sin(15+30)cos(30+15)

sin45cos45

1/√2×1/√2

1/2

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Answer 2

Solution :-

We need to find ,

sin15°cos30° + cos15°sin30° = ?

The given question is in the form of

sin(A + B) = sinAcosB + cosAsinB

Similarly ,

→ sin15°cos30° + cos15°sin30° = sin(15° + 30°)

→ sin(15° + 30°)

→ sin45° = 1/√2

Hence , sin15°cos30° + cos15°sin30° = 1/√2

★ #LearnMore ! :-

More trigonometric formulas

• sin(A + B) = sinAcosB + cosAsinB

• sin²A + cos²A = 1

• sin²A = 1 - cos²A

• sinA = ±√1 - cos²A

• cos²A = 1 - sin²A

• cosA = ±√1 - sin²A

• sin(A - B) = sinAcosB - cosAsinB

• cos(A + B) = cosAcosB - sinAsinB

• cos(A - B) = cosAcosB + sinAsinB