Chapter 6: Q.34 (page 395)

Name the quadrant in which the angle $θ$ lies. $c s c θ > 0, \cos θ < 0$

Short Answer

Expert verified

The quadrant in which angle $θ$ lies on the second quadrant

Step by step solution

Step 1.Given information

Here $c s c θ > 0, \cos θ < 0$ is given.

We have to find out in which angle it lies.

. Description of finding the quadrant in which given angle lies

We know that at the first quadrant all trigonometric ratios are positive, in the second quadrant $\sin θ a n d c s c θ a r e p o s i t i v e a n d a l l o t h e r s a r e n e g a t i v e .$

in the 3rd quadrant $\tan θ a n d c o t θ a r e p o s i t i v e a n d a l l o t h e r s a r e n e g a t i v e a n d i n t h e 4 t h q u a d r a n t \cos θ a n d s e c θ a r e p o s t i v e a n d a l l o t h e r s a r e n e g a t i v e .$

So $c s c θ > o, \cos < 0$ lies on the second quadrant.

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Name the quadrant in which the angle $θ$ lies. $c s c θ > 0, \cos θ < 0$

Short Answer

Step by step solution

Step 1.Given information

. Description of finding the quadrant in which given angle lies

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Name the quadrant in which the angleθ lies.cscθ>0,cosθ<0

Short Answer

Step by step solution

Step 1.Given information

. Description of finding the quadrant in which given angle lies

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

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Name the quadrant in which the angle $θ$ lies. $c s c θ > 0, \cos θ < 0$