Question

if sin theta = 1/2 and theta is acute, then the value of the sin 2 theta is​

Answer 1

Step-by-step explanation:

I hope this will be helpful to you and rate the answer

if u r satisfied with the answer mark me as brainliest

Answer 2

If sin θ = 1/2 and θ is acute, then the value of the sin 2θ is​ √3 / 2  and value of  sin²θ  is 1/4

Given:

• θ is acute
• sin θ = 1/2

To Find:

• Value of  Sin 2θ
• Value of sin²θ

Solution:

Acute angles:

Angles whose measures are between 0° and 90°

Step 1:

Solve for θ using sin 30° = 1/2

sin θ = 1/2

=> θ = 30°

Step 2:

Solve for sin 2θ using θ = 30°

sin 2θ = sin (2 x 30°)

=> sin 2θ =   sin 60°

=> sin 2θ = √3 / 2

Step 3:

Solve for sin²θ using sin θ = 1/2

sin²θ = (1/2)²

=> sin²θ =   1/4

If sin θ = 1/2 and θ is acute, then the value of the sin 2θ is​ √3 / 2  and value of  sin²θ  is 1/4

Learn More:

Prove that sinα + sinβ + sinγ − sin(α + β+ γ) = 4sin(α+β/2)sin(β+γ

brainly.in/question/10480120

Ifsin 990° sin 780° sin 390°+=K(tan 405° – tan 360°) then Kicos 540 ...

brainly.in/question/22239477

Maximum value of sin(cos(tanx)) is(1) sint (2)

brainly.in/question/11761816

evaluate cot[90-theta].sin[90-theta] / sin theta+cot 40/tan 50 - [cos ...

brainly.in/question/2769339