Given a function value of an acute angle, find the other five trigonometric function values. $$\sin \sigma=\frac{10}{11}$$
Added by David M.
Step 1
We know that $\sin^2 \sigma + \cos^2 \sigma = 1$. So, we can find the cosine value by solving for $\cos \sigma$: $$\cos^2 \sigma = 1 - \sin^2 \sigma = 1 - \left(\frac{10}{11}\right)^2 = \frac{21}{121}$$ Taking the square root of both sides, we get: $$\cos \sigma = Show more…
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