What is the reference angle for θ = 210◦ ? Using that reference angle, determine the vaules for the six trigonometric functions of 210◦.

Answer 1

Reference angle is #30^@#, angle is in QIII

#sin210^@=-1/2#, #csc210^@=-2#

#cos210^@=-sqrt(3)/2#, #sec210^@=-(2sqrt(3))/3#

#tan210^@=sqrt(3)/3#, #cot210^@=sqrt(3)#

The reference angle is found by calculating the difference between #theta# and the x-axis. In this problem, 210 is closest to 180, so #210^@-180^@=30^@#. This is your reference angle. We can calculate the values of all six trig ratios using a combination of the reference angle and the quadrant in which it lies (Q3). In Q3, both #sintheta# and #costheta# are negative. But #tantheta# is positive. Armed with all this information, we can get the values of the six trig ratios above.
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Answer 2

The reference angle for θ = 210° is 30°. Using this reference angle:

sin(210°) = -sin(30°) = -1/2 cos(210°) = cos(30°) = √3/2 tan(210°) = -tan(30°) = -√3/3 csc(210°) = -csc(30°) = -2 sec(210°) = sec(30°) = 2/√3 cot(210°) = -cot(30°) = -√3

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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.

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.

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.

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.

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