If $2 an A = 3$, then value of $\sec A$ equals

Question

If $2	an A = 3$, then value of $\sec A$ equals

Accepted Answer

Step 1: $2	an A=3\Rightarrow 	an A=\dfrac{3}{2}$.
Step 2: Use the identity $\sec^2A=1+	an^2A$:
$$\sec^2A=1+\left(\frac{3}{2}ight)^2=1+\frac{9}{4}=\frac{13}{4}$$
Step 3: $$\sec A=\sqrt{\frac{13}{4}}=\frac{\sqrt{13}}{2}$$
Answer: (D) $\dfrac{\sqrt{13}}{2}$

🔔 Email Updates Lein