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  • Find the number of solution/solutions for  <img alt="(\cos x+ \sec x)^2=4,\ \ x\epsilon [0,\pi]" src="/latex-image/?%28%5Ccos%20x&plus;%20%5Csec%20x%29%5E2%3D4%2C%5C%20%5C%20x%5Cepsil

Find the number of solution/solutions for  (\cos x+ \sec x)^2=4,\ \ x\epsilon [0,\pi]

Option: 1

0


Option: 2

1


Option: 3

2


Option: 4

3


Answers (1)

best_answer

Simultaneous Trigonometric Equations -

Simultaneous Trigonometric Equations

 

We can divide the problems related to Simultaneous Trigonometric Equations into two categories:

  1. If two equations satisfies simultaneously having only one unknown.

  2. If two equations satisfies simultaneously having two unknowns.

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(\cos x+ \sec x)^2=2\\ \text{ asssume cox =t}\\ (t+\frac{1}{t})^2=t^2+(\frac{1}{t})^2+2 \geq 2\\ \text{L.H.S. }\geq 2\ \ R.H.S. =2\\ L.H.S.\ and\ R.H.S. \ is\ same\ if \\ \cos x= \sec x\\ x=0 

Posted by

HARSH KANKARIA

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