What is the value of sin(t) if cos(t)=0.1, and t is in quadrant 1

Question

What is the value of sin(t) if cos(t)=0.1, and t is in quadrant 1

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Skylar 2 weeks 2021-10-12T10:48:08+00:00 1 Answer 0

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    2021-10-12T10:49:27+00:00

    Answer:

    sin(t)=\frac{\sqrt{99}}{10}

    Step-by-step explanation:

    Remember that

    If angle t belong to the First Quadrant

    then

    The value of sin(t) and cos(t) are positive values

    we know that

    sin^2(t)+cos^2(t)=1 —> by trigonometric identity

    we have

    cos(t)=0.1=\frac{1}{10}

    substitute

    sin^2(t)+(\frac{1}{10})^2=1

    sin^2(t)+\frac{1}{100}=1

    sin^2(t)=1-\frac{1}{100}

    sin^2(t)=\frac{99}{100}

    sin(t)=\frac{\sqrt{99}}{10}

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