if sin thita = 4/5, calculate 5sin thita – 3cos thita ________________

Question

if sin thita = 4/5, calculate

5sin thita – 3cos thita ________________
2cos thita – 2sin thita​

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Liliana 1 month 2021-08-14T07:25:25+00:00 2 Answers 0 views 0

Answers ( )

    0
    2021-08-14T07:26:58+00:00

    Given :

    5 tan theta = 4

    tan theta = 4/5

    We know that

    tan theta = Sin theta/Cot theta

    Say X

    Sin theta = 4x

    Cos theta = 5x

    Evaluate the values of LHS Side

    \frac{5 \ Sin\theta - 3\ Cos\theta}{5\ Sin\theta +  \ 2Cos\theta}

    \frac{(5 * 4 )- (3 * 5) }{(5 * 4) + (2 * 5)}

    \frac{20 -15}{20+ 10}

    \frac{5}{30}

    \frac{1}{6}

    0
    2021-08-14T07:27:19+00:00

    Step-by-step explanation:

    5 tan theta=4

    So tan theta=4/5

    therefore, sin theta/cos theta = 4/5

    Hence we can say that,

    sin theta= 4x , cos theta= 5x

    So, (5 sin theta – 3 cos theta)/(5 sin theta+ 2 cos theta)

          = (20x-15x)/(20x+10x)

          = 5x/30x=1/6

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