Question

What is cosec 135°?.....

Answer 1

value of cosec 135° is √2(1.414213562)

Answer 2

The value of  $\bold{\csc 135^{\circ} \text { is } 1.414}$

To find:

The value of  $\csc 135^{\circ}$

Solution:

For finding $\csc 135^{\circ}$ , here we can use some trigonometric formulas,

From the trigonometric formulas, The inverse of sin is csc.

$\csc 135^{\circ}=\frac{1}{\sin 135^{\circ}}$      

$=\frac{1}{\sin \left(90^{\circ}+45^{\circ}\right)} \ldots \ldots \ldots(1)$

We know that, $\sin \left(90^{\circ}+\theta\right)=\sin \theta$ from the trigonometric formula, so $\sin \left(90^{\circ}+45^{\circ}\right) becomes \sin 45^{\circ}.$

Therefore equation (1) becomes,

$=\frac{1}{\sin 45^{\circ}}$

$=\frac{1}{\frac{1}{\sqrt{2}}}$

$=\sqrt{2}$

And the value of  $\sqrt{2}$  is 1.414.

                            =1.414

Hence, the value of  $\csc 135^{\circ}$ has found that,

1.414 is the value of  $\csc 135^{\circ}$