Question

In Exercises 6 and 7, find sin J, sin K, cos J, cos K, tan J and tan K. Write each answer as a fraction and as a decimal rounded to four places.

Answer 1

Mark Brainliest please

The sine of an angle is defined as the ratio of the opposite side to the hypotenuse.

The cosine of an angle is defined as the ratio of the adjacent side to the hypotenuse.

The tangent of an angle is defined as the ratio of the opposite side to the adjacent side.

See the image for Sin J, K & cos j & K & tan J & K

Answer 2

Answer: Refer to the diagram below for the answers

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Explanation:

The rules I'm using are

• sin(angle) = opposite/hypotenuse
• cos(angle) = adjacent/hypotenuse
• tan(angle) = opposite/adjacent

The opposite side is the leg furthest from the reference angle. For example, if J is the reference angle, then leg LK is the opposite side. The adjacent side would be JL for reference angle J. The opposite and adjacent swap when you swap the reference angle.

The hypotenuse is always the longest side and always opposite the largest angle (always opposite the 90 degree angle).

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An example calculation would be:

sin(angle) = opposite/hypotenuse

sin(J) = LK/JL

sin(J) = 30/34

sin(J) = 0.8824

I'm referring to the triangle with sides 16,30,34. The other trig ratios are handled in pretty much the same way (use the rules mentioned above).