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29 August, 06:59

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{10}{17}cos (θ 1 ) = 17 10 cosine, left parenthesis, theta, start subscript, 1, end subscript, right parenthesis, equals, start fraction, 10, divided by, 17, end fraction. What is the value of / sin (/theta_1) sin (θ 1 ) sin

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  1. 29 August, 08:33
    0
    sin (θ) = 3√21 / 17

    Step-by-step explanation:

    Given:-

    - The angle (θ) lies in the first quadrant. Where theta is defined as:

    cos (θ) = 10 / 17

    Find:-

    - Find sin (θ):

    Solution:-

    - We will draw a right angle triangle in the first quadrant. With base, B = 10 and hypotenuse H = 17. Since,

    cos (θ) = B / H = 10 / 17

    - Using pythagorean theorem determine the perpendicular side length:

    H^2 - B^2 = P^2

    17^2 - 10^2 = P^2

    √189 = P

    P = 3√21

    - Now evaluate sin (θ):

    sin (θ) = P / H

    sin (θ) = 3√21 / 17
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