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I’m not sure the answer. help!!

I’m not sure the answer. help!!-example-1
User IntStarFoo
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1 Answer

13 votes

Answer:

x = {-5π/4, -3π/4, 3π/4, 5π/4}

Explanation:

You know that sec(x) = 1/cos(x), so this is equivalent to ...

cos(x) = -1/√2

The cosine has a magnitude of 1/√2 for an angle of 45°, or π/4 radians. It is negative in the 2nd and 3rd quadrants. Angles in those quadrants that have a reference angle of π/4 are ...

3π/4, 5π/4

We also want angles in the range -2π to 0, so all of the solutions will be ...

sec(x) = -√2 for x = {-5π/4, -3π/4, 3π/4, 5π/4}

__

We like to use the x-intercept as the solution when graphing, so we write the given equation as ...

sec(x) +√2 = 0

The graph verifies the above solutions.

I’m not sure the answer. help!!-example-1
User Kamiesha
by
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