3 years ago

Find the missing value in each proportion k/18 =20/76

Mathematics

1 answer:

laila [671]3 years ago

4 0

You have to find out what the variable (k) is demonstrating,the value

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Anyone know how to prove these are equal to one another? I also need all the steps.

IrinaVladis [17]

Answer:

Step-by-step explanation:

it can be simplified to $\frac{sec \theta}{cot\theta+tan\theta} =sin\theta$ . if you multiply each side by the denominator, it becomes $sec\theta=\frac{sin^2\theta}{cos\theta} + cos\theta$ since $tan\theta=\frac{sin\theta}{cos\theta}$ and cotan is the reciprocal of that. Because $sec\theta=\frac{1}{cos\theta}$ so multiplying each side gives $1=sin^2\theta+cos^2\theta$ , and $sin^2\theta+cos^2\theta$ is equal to 1.