Find the exact value of each of the remaining trigonometric functions of theta

[adrianaiha]

sin\theta 3/5

 

[MarkFL]

I've moved this thread to our Trigonometry forum, since this is not a calculus problem, but involves trig. instead.

I am assuming you've been given:

\(\displaystyle \sin(\theta)=\frac{3}{5}\)

And you are to find the values of the other 5 trig. functions as a function of $\theta$.

Since the sine of $\theta$ is positive, we know that $\theta$ is in either Quadrant I or II. To find the cosine of $\theta$, let's consider the Pythagorean identity:

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

Solve this for $\cos(\theta)$, and plug in the given value for $\sin(\theta)$...what do you get?