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6 February, 14:04

In a right triangle, sin (40 - x) ° = cos (3x). What is the value of x?

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  1. 6 February, 17:33
    0
    Value of x = 25

    Step-by-Step Explanation:

    ~ Knowing that, in a right triangle ~

    sin (40-x) = cos (3x) ⇒

    sin (40-x) = sin (90-3x) ⇒

    40 - x = 90 - 3x ⇒

    40 - x + 3x=90 - 3x + 3x = >

    40+2x=90 = >

    2x=50 = >

    x = 25

    Now it is proven to be that,

    x = 25
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