Question

9. If sin (A + B) = 1, cos (A-B) = 1, find A and B​

Answer 1

Answer:

Here your answer.

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Answer 2

Answer:

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Step-by-step explanation:

(i) Sin (A + B) = 1 [Given]

We all know that;

Sin 90° = 1

∴ A + B = 90°

(ii) Cos (A - B) = 1

We all know that;

Cos 0° = 1

∴ A - B = 0°

Crossing out by elimination method:-

A + B = 90°

A - B = 0°

[ B and (- B) gets cancelled ]

⇒ 2A = 90°

∴ A = 45°

Finding B;

A + B = 90°

⇒ B = 90° - 45°

∴ B = 45°

∴ A = 45°, B = 45°