SOLUTION: Hi, please help me solve this problem: Suppose alpha is an acute angle and cos alpha = square root of 3 divided by 5. Find the exact value of 3-sec squared alpha. Thanks!

Question 398192: Hi, please help me solve this problem:
Suppose alpha is an acute angle and cos alpha = square root of 3 divided by 5. Find the exact value of 3-sec squared alpha.
Thanks!
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
Suppose alpha is an acute angle and cos(alpha) = sqrt(3)/5.
Find the exact value of 3sec^2(alpha).
-----------------
cos(alpha) = x/r, so x = sqrt(3) and r = 5
---
sec(alpha) = r/x = 5/sqrt(3)
-----
3sec^2(alpha) = 3*(25/3) = 25
============================
Cheers,
Stan H.

RELATED QUESTIONS
Hi, please help me solve this problem: Suppose alpha is an acute angle and cos alpha = (answered by Alan3354)

Hi, please help me solve this problem: Verify the identity of csc alpha - (cos... (answered by richard1234)

Hi, please help me solve this problem: Suppose sec alpha = 7/2 and alpha is in... (answered by ewatrrr)

Hi, please help me solve this problem: Suppose sec alpha = -7/4 and that the terminal... (answered by stanbon,lwsshak3)

Please help me solve this question If alpha and beta are 2 positive acute angles... (answered by ikleyn)

Hi, please help me solve this problem: Is this true of false: If alpha and beta are in (answered by richard1234)

Please help me solve this two part question: Given cos alpha= -4/5, 90 < alpha < 180... (answered by jim_thompson5910)

if sin alpha = 1/ square root 5 , 0< alpha < pie by 2,. find the exact values of a)... (answered by jsmallt9)

Hi, please help me solve this problem: Is this true of false: If alpha and beta are in (answered by jim_thompson5910,richard1234)