How do you find all six trigonometric functions of 240 degrees?
From their definitions:
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There is another way, using the trig unit circle.
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To find all six trigonometric functions of 240 degrees, follow these steps:
 Convert 240 degrees to radians. Recall that 1 degree is equal to π/180 radians.
[ 240^\circ \times \frac{\pi}{180} = \frac{4\pi}{3} ]

Identify the reference angle. Since 240 degrees is in the third quadrant, its reference angle in the first quadrant is 180 degrees  240 degrees = 60 degrees.

Determine the sign of each trigonometric function based on the quadrant:
 In the third quadrant, sine and cosecant are negative, while cosine, secant, tangent, and cotangent are positive.

Calculate the trigonometric functions using the reference angle and the signs determined in step 3:
 Sine (sin): [ \sin(240^\circ) = \sin(60^\circ) = \frac{\sqrt{3}}{2} ]
 Cosine (cos): [ \cos(240^\circ) = \cos(60^\circ) = \frac{1}{2} ]
 Tangent (tan): [ \tan(240^\circ) = \tan(60^\circ) = \sqrt{3} ]
 Cosecant (csc): [ \csc(240^\circ) = \csc(60^\circ) = \frac{2}{\sqrt{3}} = \frac{2\sqrt{3}}{3} ]
 Secant (sec): [ \sec(240^\circ) = \sec(60^\circ) = \frac{2}{1} = 2 ]
 Cotangent (cot): [ \cot(240^\circ) = \cot(60^\circ) = \frac{1}{\sqrt{3}} = \frac{\sqrt{3}}{3} ]
These are the values of the six trigonometric functions for the angle 240 degrees.
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When evaluating a onesided 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 onesided 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 onesided 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 onesided 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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