HSC Science (Electronics) 12th Board ExamMaharashtra State Board
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Solution - Find the general solution of the equation sin x = tan x. - HSC Science (Electronics) 12th Board Exam - Mathematics and Statistics

Question

Find the general solution of the equation sin x = tan x.

Solution

sin x = tan x
∴ sin x = sinx/cosx
∴ sin x cos x - sin x = 0
∴ sin x (cos x - 1) = 0 
∴ sin x = 0 or cos x = 1
∴ sin x = sin 0 or cos x = cos 0

Since, sin θ = 0 implies θ = nπ and cos θ = cos α implies θ = 2nπ±α  , n ∈ Z.
∴ x = nπ or x = 2mπ ± 0
∴ the required general solution is x = nπ or x = 2mπ, where n, m ∈ Z.

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APPEARS IN

 2015-2016 (July) (with solutions)
Question 1.2.5 | 2 marks
Solution for question: Find the general solution of the equation sin x = tan x. concept: null - General Solution of Trigonometric Equation of the Type. For the courses HSC Science (Electronics), HSC Science (General) , HSC Arts, HSC Science (Computer Science)
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