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padilas [110]
3 years ago
15

Jonah's favourite number is a positive integer. One day, he decided to write down all of the positive integers starting at 1 and

ending with his favourite number. He noticed, in doing so, that he wrote the digit 7 exactly 30 times. What is Jonah's favourite number?
Mathematics
1 answer:
masya89 [10]3 years ago
3 0

Answer:

um I think its 14

Step-by-step explanation:

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iii) \displaystyle{ \cos (x-y)=\ cosx\cdot \ cosy +\ sinx\cdot\ siny.

Also, we have know that \displaystyle{ \sin \frac{ \pi }{2}=1 and \displaystyle{ \cos \frac{ \pi }{2}=0.


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By (ii) and (iii) we have:

\displaystyle{ \frac{\cos (x-\frac{\pi}{2})}{\sin (x-\frac{\pi}{2})}= \frac{\ cosx\cdot \ cos\frac{\pi}{2} +\ sinx\cdot\ sin\frac{\pi}{2}}{\ sinx\cdot\ cos\frac{\pi}{2} -\ sin\frac{\pi}{2}\cdot\ cosx} = \frac{\ sinx}{-\cos x}

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Now, \displaystyle{ \frac{\ sinx}{-\cos x} is clearly -tanx.
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