Question

If $\sin \theta=\frac{a}{b}$, then $\cos \theta$ and $\tan \theta$ in terms of $a$ and $b$ are:

• A. $\frac{\sqrt{b^2-a^2}}{b}$ and $\frac{b}{\sqrt{b^2-a^2}}$
• B. $\frac{b}{\sqrt{b^2-a^2}}$ and $\frac{a}{\sqrt{b^2-a^2}}$
• C. $\frac{\sqrt{a^2-b^2}}{a}$ and $\frac{b}{\sqrt{a^2-b^2}}$
• D. $\frac{\sqrt{b^2-a^2}}{b}$ and $\frac{a}{\sqrt{b^2-a^2}}$

Answer 1

Answer: (D)

$\text { Apply } \cos \theta=\frac{\text { Side adjacent to } \theta}{\text { Hypotenuse }} $
$ \tan \theta=\frac{\text { Side opposite to } \theta}{\text { Side adjacent to } \theta}$