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20 pts! Please help? Trig If sec(A) = 3/2 and < A is in the quadrant I, what is the value of tan(x)? a. 2sqrt5 /3 b. sqrt5 /3 c. sqrt5 /2 d. 3sqrt5 /2 Give me a short or long explanation on how to solve this if you can please.
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20 pts! Please help? Trig

If sec(A) = 3/2 and < A is in the quadrant I, what is the value of tan(x)?


a. 2sqrt5 /3

b. sqrt5 /3

c. sqrt5 /2

d. 3sqrt5 /2


Give me a short or long explanation on how to solve this if you can please.

User Mark Erickson
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1 Answer

4 votes
The answer is c, sqrt5 /2. Sec is 1/cos or r/x. Tan is y/x. With that being said, You would use Pythagorean Theorem to find y. So y^2 + 2^2 = 3^2. Y^2 + 4 = 9. Y= sqrt 5, in which y/x is sqrt 5/ 2. Hope this makes sense!
User Gappa
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6.8k points
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