Question

If theta and (2theta + 45°) are acute angles such that sin theta = cos(2theta + 45),then
✓2 sin 3theta– 2tan 3theta is equal to
(a) o
(b) -1
(6) 1
(d) 2​

Answer 1

Answer:

your answer is b ) -1

Step-by-step explanation:

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Answer 2

If theta and (2theta + 45°) are acute angles such that sin theta = cos(2theta + 45).

• As theta = (2theta+45) and also they are acute angles,

sin(theta) can be written as cos(90-theta).

• cos(90-theta) = cos(2theta +45)

• 90- theta = 2theta +45

• theta = 15°.

• Substitute in ✓2 sin 3theta– 2tan 3theta.

• ✓2 sin 45°– 2tan 45°

=> ✓2 (1/ ✓2) - 2(1)

=> 1-2 = -1.

• Hence, Option B is the right answer.