2 years ago

Help me quick taking a test need it down before 12

Mathematics

1 answer:

bija089 [108]2 years ago

7 0

C
I’m just filling the 20 character thing now lol

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Help! Given that tanθ=-1, what is the value of secθ, for 3π/2<θ<2π?

user100 [1]

Answer: Choice B) $\sqrt{2}$

Work Shown:

$\sec^2(\theta) = \tan^2(\theta) + 1\\\\\sec^2(\theta) = (\tan(\theta))^2 + 1\\\\\sec^2(\theta) = (-1)^2 + 1\\\\\sec^2(\theta) = 2\\\\\sec(\theta) = \sqrt{2}\\\\$

Note: secant is positive in quadrant Q4, when theta is between 3pi/2 radians and 2pi radians (270 degrees and 360 degrees). So that's why we don't consider the minus form of the plus minus.

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