CAT Practice : Trigonometry

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Max and Min value of the given expression

Trigonometric Identities

    In the above figure, the sheet of width W is folded along PQ such that R overlaps S Length of PQ can be written as :-

    1. Any two of the above


  • Correct Answer
    Choice D. Any two of the above

Explanatory Answer

Detailed Solution

If you are quick at observing , this question can be solved just by looking at the options as ,
= which is option (b)
∴ (d) Answer
Actually solving the question.
For R and S to overlap,
∆ PQR is congurent to ∆ PSQ
∴ ∠ QPR = ⁡∝ ; ∠ SQP = ∠ PQR = 90 - ⁡∝
=) ∠ RQT = 2⁡∝ (180°-(180°-2∝))
We can draw the figure as :-

∴In ∆ QRT
QT = QR cos2⁡∝
In ∆ PSQ,
SQ = PQ sin ⁡∝ = QR
∴ w = QT + SQ = PQ sin∝cos2∝ + PQ sin ∝
(as shown earlier)

Answer choice (D)

Correct Answer: Any two of the above

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