Question 965164: I've been working through my homework for several hours and have gotten stuck. Any help is appreciated!
Using a double-angle or half-angle formula to simplify the given expressions.
(a) If cos^2(29∘)−sin^2(29∘)=cosA∘, then
A= ___ degrees;
(b) If cos^2(2x)−sin^2(2x)=cosB, then
B= ___.
Answer by Murthy(22)   (Show Source):
You can put this solution on YOUR website! (a) If cos^2(29∘)−sin^2(29∘)=cosA∘, then
we have,
cos^2(theta)−sin^2(theta∘)=cos2(theta)∘
therefore,
A=58∘
(b) If cos^2(2x)−sin^2(2x)=cosB,
cos^2(theta)−sin^2(theta∘)=cos2(theta)∘
therefore,cos(4x)=cosB
or 4x=B
|
|
|
