Register
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.
6.4k views
5 votes
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
by
8.3k points

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
by
8.1k points
← Prev Question Next Question →

Related questions

User Sreepurna
asked Jul 25, 2023 78.9k views
Simplify (2sqrt5-4)(3sqrt5+2)
Sreepurna asked Jul 25, 2023
by Sreepurna
8.3k points
2 answers
8 votes
78.9k views
User Sumit Wadhwa
asked May 4, 2023 104k views
Combine these radicals. -sqrt5-3sqrt5
Sumit Wadhwa asked May 4, 2023
by Sumit Wadhwa
8.4k points
2 answers
12 votes
104k views
Ask a Question
Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Other Questions

How do you can you solve this problem 37 + y = 87; y =
What is .725 as a fraction
A bathtub is being filled with water. After 3 minutes 4/5 of the tub is full. Assuming the rate is constant, how much longer will it take to fill the tub?
A dealer sells a certain type of chair and a table for $40. He also sells the same sort of table and a desk for $83 or a chair and a desk for $77. Find the price of a chair, table, and of a desk.
Mr. Jacob is 55 years old and tony is 7 years old. in how many years will mr. Jacobs be 4 times as old as Tony
Link Copied!