SOLUTION: If sin 2A = cos 12B, find tan (A + 6B)?

Algebra.Com
Question 886357: If sin 2A = cos 12B, find tan (A + 6B)?
Answer by Edwin McCravy(20060)   (Show Source): You can put this solution on YOUR website!
sin(2A) = cos(12B)

cos(90°-2A) = cos(12B)

cos(90°-2A) - cos(12B) = 0

We use the identity:  

 with x=90°-2A and y=12B



Divide both sides by -2 and simplify the angles





Use zero-factor property:

Since we are only interested in A+6B we set only the second
factor = 0



Use the identity  to make (A+6B) positive:



Divide both sides by -1 and reverse the terms









Edwin
RELATED QUESTIONS

If ∠A is ACUTE and cos A = 4/5 find sin A, cos 2A, sin 2A, and tan... (answered by ikleyn)
if sin(a)=0.35 and cos(a)<0 then, cos(a)= sin(2a)= cos(2a)=... (answered by Alan3354)
If tan A = ¾ and cos B = 12/13, find a. Tan (A - B) b. c. tan ( B - A ) c. Sin ( (answered by Alan3354,MathTherapy)
Find the exact values of sin 2a, cos 2a, and tan 2a. tan a=2, pi < a <... (answered by lwsshak3)
If sin(A)=-5/13. Find: 1. cos(2A) 2. sin(2A) 2.... (answered by Alan3354)
simplify... (answered by Alan3354)
find the exact values of sin 2a, cos 2a, and tan 2a when tan a = 2, π < a <... (answered by lwsshak3)
if sin A=2.511x, cos A=3.06x and sin 2A=3.939x, find the value of... (answered by lwsshak3)
Find sin A, cos A, cos 2A, and sin (A/2) if the measure of angle A is 37... (answered by MathLover1)