How do you find the 6 trigonometric functions for 10pi/3?
Find the 6 trig functions of
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To find the six trigonometric functions for the angle ( \frac{10\pi}{3} ), you can use the unit circle.

Sine: ( \sin\left(\frac{10\pi}{3}\right) = \sin\left(\frac{10\pi}{3}  2\pi\right) = \sin\left(\frac{4\pi}{3}\right) = \frac{\sqrt{3}}{2} )

Cosine: ( \cos\left(\frac{10\pi}{3}\right) = \cos\left(\frac{10\pi}{3}  2\pi\right) = \cos\left(\frac{4\pi}{3}\right) = \frac{1}{2} )

Tangent: ( \tan\left(\frac{10\pi}{3}\right) = \frac{\sin\left(\frac{10\pi}{3}\right)}{\cos\left(\frac{10\pi}{3}\right)} = \frac{\frac{\sqrt{3}}{2}}{\frac{1}{2}} = \sqrt{3} )

Cosecant: ( \csc\left(\frac{10\pi}{3}\right) = \frac{1}{\sin\left(\frac{10\pi}{3}\right)} = \frac{1}{\frac{\sqrt{3}}{2}} = \frac{2}{\sqrt{3}} )

Secant: ( \sec\left(\frac{10\pi}{3}\right) = \frac{1}{\cos\left(\frac{10\pi}{3}\right)} = \frac{1}{\frac{1}{2}} = 2 )

Cotangent: ( \cot\left(\frac{10\pi}{3}\right) = \frac{1}{\tan\left(\frac{10\pi}{3}\right)} = \frac{1}{\sqrt{3}} )
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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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