SOLUTION: Given sinθ, 2 cosθ and 2 sinθ are three consecutive terms in an arithmetic sequence. Find the value of θ in radians given θ is an acute angle.

Question 1111789: Given sinθ, 2 cosθ and 2 sinθ are three consecutive terms in an arithmetic sequence. Find the value of θ in radians given θ is an acute angle.
Answer by greenestamps(13200) (Show Source): You can put this solution on YOUR website!

Given three consecutive terms in an arithmetic sequence, the middle one is the average of the other two. So in this problem

x = arctan(4/3)
RELATED QUESTIONS
Find the exact values of sin 2θ, cos 2θ, and tan 2θ for the given value of (answered by brysca)

if the terminal side of θ is in quadrant 2 and sinθ=12/13 then how do you find... (answered by lwsshak3)

If cos θ = 3/5 and θ terminates in the first quadrant, find the exact value of... (answered by swincher4391,stanbon)

given cotθ = 1/2√7, find sinθ and cosθ in quadrant... (answered by Boreal)

Find the exact value of sin θ, if cos θ = and θ lies in quadrant... (answered by solver91311)

find the value of √sinθ cosθ/secθ cscθ given that tanθ=3/4 (answered by Alan3354)

Find the value of √sinθ cosθ/secθ cscθ given that tanθ=3/4 (answered by Alan3354)

Find the possible values of sinθ and tanθ, given that cosθ=... (answered by solver91311)

Find the exact values of cosθ, and tanθ given sinθ=-(sqrt3)/2 and... (answered by stanbon)

SOLUTION: Given sin&#952;, 2 cos&#952; and 2 sin&#952; are three consecutive terms in an arithmetic sequence. Find the value of &#952; in radians given &#952; is an acute angle.

SOLUTION: Given sinθ, 2 cosθ and 2 sinθ are three consecutive terms in an arithmetic sequence. Find the value of θ in radians given θ is an acute angle.