CAT Practice : Trigonometry

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Max and Min value of the given expression

Trigonometric Identities

    Q.13: If Cos x – Sin x = √2 Sin x, find the value of Cos x + Sin x:
    1. √2 Cos x
    2. √2 Cosec x
    3. √2 Sec x
    4. √2 Sin x Cos x

 

  • Correct Answer
    Choice A. √2 Cos x

Explanatory Answer

Detailed Solution

Cos x – Sin x = √2 Sin x

=) Cos x = Sin x + √2 Sin x

=) Cos x = Sin x + √2 Sin x

=) Sin x = * Cos x

=) Sin x = * Cos x

=) Sin x = * Cos x

=) Sin x = (√2 - 1) Cos x

=) Sin x = √2 Cos x – Cos x

=) Sin x + Cos x = √2 Cos x



Answer choice (A)

Correct Answer: √2 Cos x



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Trigonometry..........