3 years ago

Find the measure of angle 1

1 answer:

4 0

Angle 1 = 37 degrees
152 and the angle adjacent to it add up to 180 degrees so
180-152= 28 degrees
All the angles of a triangle add up to 180 degrees so
28 + 115 = 143
180-143 = 37 degrees

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If costheta=4/5 then what is sec^2theta

DaniilM [7]

Answer:

$\sec^2(\theta)=\frac{25}{16}$

Step-by-step explanation:

Recall what the relationship between cosine and secant:

$\sec(\theta)=\frac{1}{\cos(\theta)}$

In other words, secant is the reciprocal of cosine.

So, if we know cosine, we only need to find its reciprocal to find secant.

We are given that cosine is:

$\cos(\theta)=\frac{4}{5}$

Then secant must be:

$\sec(\theta)=\frac{5}{4}$

So:

$\sec^2(\theta)=(\frac{5}{4})^2$

Square:

$\sec^2(\theta)=\frac{25}{16}$

And we're done!

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