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

1 answer:

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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These are not hard....u just have to pay very close attention to the wording. Keep in mind ratios can be written as fractions too.

ratio of tomatoes to onions = 21:6 which reduces to 7:2...because there is 21 tomatoes and 6 onions. (21/6 reduces to 7/2...ratios written as fractions)

However, if it would have asked the ratio of onions to tomatoes, it would have been 6:21....which reduces to 2:7....so pay attention to the wording on problems such as these

so ur answer is 7:2

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