Question

If $\sec A=co\sec B=\frac{5}{3}$, then the value of $(A+B)$ is equal to

• A. $0$
• B. ${90}^{\circ }$
• C. $<{90}^{\circ }$
• D. $>{90}^{\circ }$

Answer 1

The correct option is B ${90}^{\circ }$

$\sec A=co\sec B=\frac{5}{3}$

$\Rightarrow \sec A=co\sec B$

$\Rightarrow \sec A=\sec (90°-B)$

$\Rightarrow A=90°-B$

$\Rightarrow A+B=90°$

Hence, the answer is $90°.$