remolatg

2021-08-15

Use the fundamental identities to find the value of the trigonometric function

Find$\mathrm{csc}\theta$ , given that $\mathrm{sin}\theta =-23$ and $\theta$ is in quadrant 4.

Find

Willie

Skilled2021-08-16Added 95 answers

Given,

$\mathrm{sin}\theta =-23\text{}\text{and}\text{}\theta$ is in quadrant 4.

We have to find the value of csc using the fundamental identities of trigonometry.

Concept used:

1.$\mathrm{csc}\theta =\frac{1}{\mathrm{sin}\theta}$

2.$\mathrm{csc}\theta$ is positive in 4 quadrant.

Calculation

$\because \mathrm{sin}\theta =-23$

$\therefore \mathrm{csc}\theta =\frac{1}{\mathrm{sin}\theta}=\frac{1}{-23}=-\frac{1}{23}$

But$\mathrm{csc}\theta$ is positive in 4 quadrant.

$\Rightarrow \mathrm{csc}\theta =\frac{1}{23}$

We have to find the value of csc using the fundamental identities of trigonometry.

Concept used:

1.

2.

Calculation

But

Jeffrey Jordon

Expert2021-12-10Added 2575 answers

Answer is given below (on video)