If sin ⁡ 2 A = 1 2 and sin ⁡ 2 B = - 1 2 , then which of the following is false?

Question

If sin ⁡ 2 A = 1 2 and sin ⁡ 2 B = - 1 2 , then which of the following is false?, sin ⁡ A + B may be 0, cos ⁡ A - B may be 0, sin ⁡ A + B or cos ⁡ A - B is zero, sin ⁡ A + B = 0

MARKS App · Accepted Answer

sin ⁡ 2 A = 1 2 , sin ⁡ 2 B = - 1 2 ⇒ sin ⁡ 2 A + sin ⁡ 2 B = 0 ⇒ 2 sin ⁡ A + B cos ⁡ A - B = 0 ⇒ sin ⁡ A + B = 0 or cos ⁡ A - B = 0 Hence, 4 th option is false.

Search any question & find its solution

Looking for more such questions to practice?