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alexandr1967 [171]
3 years ago
15

- Use the unit circle to evaluate the six trigonometric functions of theta= 4pi

Mathematics
1 answer:
Helen [10]3 years ago
8 0
<h2> The six trigonometric functions, \sin \dfrac{\pi}{4} =\dfrac{1}{\sqrt{2}}, \cos \dfrac{\pi}{4} =\dfrac{1}{\sqrt{2}},\tan \dfrac{\pi}{4} =1, \cot \dfrac{\pi}{4} =1, \sec \dfrac{\pi}{4} =\sqrt{2} and \csc \dfrac{\pi}{4} =\sqrt{2}.</h2>

Step-by-step explanation:

We have,

\dfrac{\pi}{4}

To write the six trigonometric functions = ?

\sin \dfrac{\pi}{4} =\dfrac{1}{\sqrt{2}}

\cos \dfrac{\pi}{4} =\dfrac{1}{\sqrt{2}}

\tan \dfrac{\pi}{4} =1

\cot \dfrac{\pi}{4} =1

\sec \dfrac{\pi}{4} =\sqrt{2}

\csc \dfrac{\pi}{4} =\sqrt{2}

∴ The six trigonometric functions, \sin \dfrac{\pi}{4} =\dfrac{1}{\sqrt{2}}, \cos \dfrac{\pi}{4} =\dfrac{1}{\sqrt{2}},\tan \dfrac{\pi}{4} =1, \cot \dfrac{\pi}{4} =1, \sec \dfrac{\pi}{4} =\sqrt{2} and \csc \dfrac{\pi}{4} =\sqrt{2}.

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