SOLUTION: Determine the exact value of each of the following and what quadrant they are in, a) tan(-210 degrees) b) Sin 300 degrees

Algebra.Com
Question 1165906: Determine the exact value of each of the following and what quadrant they are in,
a) tan(-210 degrees)
b) Sin 300 degrees

Found 2 solutions by josgarithmetic, MathLover1:
Answer by josgarithmetic(39617)   (Show Source): You can put this solution on YOUR website!
----------------
Sin 300 degrees
----------------

Refer to Unit Circle.
See that 300 degrees is 60 degrees less than 360 degrees. This is like +60 degrees, but the sign is negative. Instead of for sine, it is ; and is in quadrant 4.

Answer by MathLover1(20850)   (Show Source): You can put this solution on YOUR website!

a)

Use the following property :


....since


=>

b)
degrees
Use the following property :

=> =>
then
and
Using the summation identity :


since




we have


=>


RELATED QUESTIONS

what are the exact values of the six trigonmetric functions for the following angle 300... (answered by Theo)
given sin330 degrees, determine which of the following is an equivalent expression a)sin (answered by ikleyn)
what is the exact value of sin, in degrees if tan <0 and cos=... (answered by Alan3354)
exact value of cos 300 degrees and sin 300... (answered by stanbon)
Determine the exact value of sin 60 degrees*cos30 degrees. (answered by Alan3354)
if tan(a) = -2, find the exact value of sin(a) and specify each possible... (answered by MathLover1,ewatrrr,ikleyn,MathTherapy)
find the exact value, leaving the answer in a proper form of sin -300... (answered by sarah_adam)
Find the exact value of the following: a) tan 65pi/6 b) cos 150 (degrees) c) sin... (answered by Alan3354)
Solve the equation sin^2x = 3cos^2x. The value of x that satisfies the equation if x... (answered by htmentor)