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3 April, 08:05

The angle / theta_1θ 1 theta, start subscript, 1, end subscript is located in Quadrant / text{I}Istart text, I, end text, and / cos (/theta_1) = / dfrac{3}{8}cos (θ 1 ) = 8 3 cosine, left parenthesis, theta, start subscript, 1, end subscript, right parenthesis, equals, start fraction, 3, divided by, 8, end fraction. What is the value of / sin (/theta_1) sin (θ 1 ) sine, left parenthesis, theta, start subscript, 1, end subscript, right parenthesis?

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  1. 3 April, 09:17
    0
    (√55) / 8

    Step-by-step explanation:

    The sine and cosine are related by ...

    sin² + cos² = 1

    Then the sine of the angle is ...

    sin (θ₁) = √ (1 - cos (θ₁) ²)

    sin (θ₁) = √ (1 - (3/8) ²) = √ (55/64)

    sin (θ₁) = (√55) / 8
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