Question

If 7 sin^2 theta + 3cos^2 theta =4. Find the value of sin theta and hence find teh value of acute angle theta.​

Answer 1

Answer:

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Answer 2

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Step-by-step explanation:

7 sin^2 θ + 3 cos^2 θ = 4

● 4 sin^2 θ + 3 sin^2 θ + 3 cos^2 θ = 4

● 4 sin^2 θ + 3 (sin^2 θ + cos^2 θ ) = 4

● 4 sin^2 θ + 3 (1) = 4 [because (sin^2 θ + cos^2 θ) = 1]

● 4 sin^2 θ = 4 - 3

● 4 sin^2 θ = 1

● sin^2 θ = 1/4

● sin θ = 1/2 = sin 30°

● θ = 30°