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Find the value of sin J rounded to the nearest hundredth, if necessary. K V10 √6 L J 4​

User Polly Shaw
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The value of the sine of the angle J is equal to 5 / 13 (approx. 0.38).

The image attached aside shows us a right triangle with two known side lengths (JL, KJ) and a angle measure (m ∠ K).

The measure of the missing angle can be found by using the trigonometric function of cosine:

cos m ∠ J = KJ / JL

cos m ∠ J = 12 / 13

m ∠ J = 22.620°

The measure of the angle J within the triangle JKL is approximately 22.620°.

And the sine of the angle J, which helds the same positive sign than cosine as the angle is in the first quadrant on Cartesian plane, is:

sin m ∠J = √(1 - cos² m ∠J)

sin m ∠J = √[1 - (12 / 13)²]

sin m ∠J = 5 / 13

The value of the sine of the angle J is equal to 5 / 13 (approx. 0.38).

The probable question may be:

In triangle JKL, angle JKL=90 degree, JK=12, JL=13, Find the value of sin J rounded to the nearest hundredth.

Find the value of sin J rounded to the nearest hundredth, if necessary. K V10 √6 L-example-1
User Gjb
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