Total number of solutions of the equation 3x + 2tanx = (5( pie )) /2 in x belongs to [0, - Math - Relations and Functions

Question

Total number of solutions of the equation 3x + 2tanx = (5( pie
)) /2 in x belongs to [0, 2(pie)] is equal to ?

Rahul Raj · Accepted Answer

dear student

3x+2tanx=5π/22tanx=5π/2-3xtanx=5π/4-3x/2we plot graph of y=tan x and y=5π/4-3x/2and find number of points they intersect in 0,2π

from the graph, we see that the equation has three solutions

so number of sol = 3

regards

Total number of solutions of the equation 3x + 2tanx = (5( pie )) /2 in x belongs to [0, 2(pie)] is equal to..... ?