SOLUTION: Find the exact value of cos(arcsin(one fourth)). For full credit, explain your reasoning.
Algebra.Com
Question 1101851: Find the exact value of cos(arcsin(one fourth)). For full credit, explain your reasoning.
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
Find the exact value of cos(arcsin(one fourth)). For full credit, explain your reasoning.
----
You want the cosine of the angle whose sine is 1/4.
Since the sin(t) is 1/4, y = 1 and r = 4
Then x = sqrt[4^2-1^2] = sqrt(15)
-----
So, the cosine of the angle whose sine is 1/4 is sqrt(15)/4
---------------------------------
Cheers,
Stan H.
-------------------
RELATED QUESTIONS
Find the exact value of tan [arcsin (2/5)]. For full credit, explain your reasoning.
(answered by ikleyn)
I have two questions :).
1. Use a calculator to find the approximate value of... (answered by Fombitz)
hoe to find the exact value of cos(arcsin(-1/2) +... (answered by stanbon,Alan3354)
State the horizontal asymptote of the rational function. For full credit, explain the... (answered by algebrahouse.com,josgarithmetic)
State the horizontal asymptote of the rational function. For full credit, explain the... (answered by josgarithmetic)
State the horizontal asymptote of the rational function. For full credit, explain the... (answered by greenestamps)
1. Use a calculator to find the approximate value of arcsin(0.72).
2. Find the exact... (answered by ikleyn)
find the exact value of the composition
csc(arcsin... (answered by lwsshak3)
Find the exact value of the expression.
arcsin(sin(-9π/16)
(answered by stanbon)