Question

If A+B=90 degree and Sec A=2/3,then find the value of cosec B.

Answer 1

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Answer 2

Answer:

$\text{The value of cosec B is }\frac{2}{3}$

Step-by-step explanation:

$\text{Given that if }A+B=90^{\circ}\text{ and }sec A=\frac{2}{3}$

We have to find the value of cosec B.

As A+B=90°

⇒ A=90°-B

$sec A=\frac{2}{3}$

$sec(90^{\circ}-B)=\frac{2}{3}$

$\text{As }sec(90-\theta)=cosec \theta$

$cosec B=\frac{2}{3}$

$\text{Hence, the value of cosec B is }\frac{2}{3}$