The total number of solution(s) of the equation 2 x + 3 tan ⁡ x = 5 π 2 in x ∈ 0,2 π is/are equal to

Question

The total number of solution(s) of the equation 2 x + 3 tan ⁡ x = 5 π 2 in x ∈ 0,2 π is/are equal to, 1, 2, 3, 4

MARKS App · Accepted Answer

2 x + 3 tan ⁡ x = 5 π 2 ⇒ tan ⁡ x = - 2 3 x + 5 π 6 y = tan ⁡ x and y = 5 π 6 - 2 x 3 Both the graphs meet exactly three times in 0,2 π . Thus, there are 3 solutions.

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