Home > Trigonometry > Trigonometric Functions of Any Angle

How do you find the value of #csc (-210)#?

Answer 1

Delilah Aguilar

#2#

#csc(-210^@)=1/(sin(-210^@))=-1/sin(210^@)# (By trig ratios and identities)

#=-1/(sin(180^@+30^@)#

#=-1/(-sin30^@)# (By the #180^@# rule)

#=2# (By standard triangle values)

By signing up, you agree to our Terms of Service and Privacy Policy

Answer 2

Adam Aguirre

To find the value of csc(-210), first find the sine of -210, then take the reciprocal of that value.

sin(-210) = -sin(210)

sin(210) is equal to sin(210 - 180) = sin(30) = 1/2

So, sin(-210) = -1/2

Now, take the reciprocal:

csc(-210) = 1 / sin(-210) = 1 / (-1/2) = -2

By signing up, you agree to our Terms of Service and Privacy Policy

Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.