Question
Sin $t$ and cos $t$ are given. Use identities to find tan $t,$ csc $t,$ sec $t,$ and cot $t .$ Where necessary, rationalize denominators.$$\sin t=\frac{2}{3}, \cos t=\frac{\sqrt{5}}{3}$$
Step 1
Substituting the given values, we get $\tan t = \frac{2/3}{\sqrt{5}/3}$. Simplifying this, we get $\tan t = \frac{2}{\sqrt{5}}$. To rationalize the denominator, we multiply the numerator and the denominator by $\sqrt{5}$, which gives us $\tan t = Show more…
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