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OLga [1]
3 years ago
6

What is the missing cotangent data (cot) in the picture?

Mathematics
1 answer:
pshichka [43]3 years ago
5 0

Step-by-step explanation:

<em>Look at the picture.</em>

Hmm.... If the angle θ is correctly marked on your photo, then your solution is incorrect.

You write the function values ​​but for the angle 180° - θ.

\sin(180^o-\theta)=\sin\theta\\\cos(180^o-\theta)=-\cos\theta\\\tan(180^o-\theta)=-\tan\theta\\\cot(180^o-\theta)=-\cot\theta

Therefore

for

x=-7,\ y=24,\ r=\sqrt{(-7)^2+24^2}=\sqrt{49+576}=\sqrt{625}=25

Let θ be this angle in your picture.

\sin\theta=\dfrac{24}{25}\\\\\cos\theta=-\dfrac{-7}{25}=\dfrac{7}{25}\\\\\tan\theta=-\dfrac{24}{-7}=\dfrac{24}{7}\\\\\cot\theta=-\dfrac{-7}{24}=\dfrac{7}{24}\\\\\sec\theta=\dfrac{1}{\cos\theta}=\dfrac{1}{\frac{7}{25}}=\dfrac{25}{7}\\\\\csc\theta=\dfrac{1}{\sin\theta}=\dfrac{1}{\frac{24}{25}}=\dfrac{25}{24}

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