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JEE Main 202229 JuneMorning Shift
Exam
JEE Main
Year
2022
Date
29 June
Shift
Morning Shift
Subject
Mathematics
Chapter
Trigonometric Equations

JEE Main 2022 · 29 June · Morning Shift · Mathematics · Trigonometric Equations

The number of solutions of the equation 2θ - ^ 2 θ + 2 = 0 in R is...

The number of solutions of the equation 2θ−cos⁡2θ+2=02\theta - \cos^{2}\theta + \sqrt{2} = 0 in RR is equal to ______.The number of solutions of the equation 2θ - ^ 2 θ + 2 = 0 in R is equal to ______.

Correct answer

0

Step-by-step solution

2θ−cos⁡2θ+2=02\theta - \cos^{2}\theta + \sqrt{2} = 0

⇒2θ+2=cos⁡2θ⇒ 2\theta + \sqrt{2} = \cos^{2}\theta

The number of solutions of the equation 2θ - ^ 2 θ + 2 = 0 in R is equal to ______.

As per the graph drawn there is only one point of intersection, so only one solution of the given equation.

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