Please usage the word "theta" or an actual Greek letter to signify angle. Even tho" I capture your drift, your "cos 0 = 0.3090" was at initially confmaking use of.

You are watching: If , which of the following represents approximate values of and , for ?

Keep in mind the adhering to facts:

(sin theta)^2 + (cos theta)^2 = 1

tan theta = sin theta / cos theta

Hence, if we begin through cos theta = 0.3090, and desire sin theta, we use the Pythagorean Theorem: (sin theta)^2 = 1 - (cos theta)^2.

Here, (sin theta)^2 = 1 - (0.3090)^2

= 1 - 0.0955, or 0.9045.

Hence, sin theta +√0.9045 = +0.9511.

We currently know both sin theta and also cos theta, and have the right to easily uncover tan theta from the formula above:

sin theta 0.9511

tan theta = ---------------- = ---------------- = 3/-880

cos theta 0.3090

The second nlinux.org is the correct one.


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