Web Analytics
dude26
Answered

20 pts! Please help? Trig



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


A2sqrt5 /3

Bsqrt5 /3

Csqrt5 /2

D3sqrt5 /2


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

Verified Answer :

bangtanbomb

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!