How do you find the solution to 3(tantheta-2)=2tantheta-73(tanθ−2)=2tanθ−7 if 0<=theta<3600≤θ<360?

1 Answer
sankarankalyanam
Oct 20, 2017

theta = (3pi)/4, (7pi)/4θ=3π4,7π4

Explanation:

3(tan theta - 2) = 2 tan theta - 7color(white)(aaa) 3(tanθ−2)=2tanθ−7aaabringing variables to L H S and constants to R H S,

3 tan theta - 2 tan theta = -7 + 63tanθ−2tanθ=−7+6

tan theta = -1tanθ=−1

theta = (3pi)/4, (7pi) / 4 for 0 <= theta < 360 color (white)(aaa)θ=3π4,7π4for0≤θ<360aaa tan is negative in 2^(nd), 4^(th)2nd,4th quadrants.

Related questions
See all questions in Solving Trigonometric Equations
Impact of this question
2398 views around the world
You can reuse this answer
Creative Commons License