CAT 2017 Trigonometry Question (Easy)

Question

If 5 circ le x circ le 15 circ, then the value of sin 30 circ cos x circ cdot sin x circ will be

Optima Learn · Accepted Answer

sin 30 circ 2 and sin x cos x 2 sin 2x. Hence the expression equals 2 2 sin 2x. Since 5 circ le x le 15 circ, we have 10 circ le 2x le 30 circ, so sin 2x lies between sin 10 circ and sin 30 circ, i.e. between approximately 0.17 and 0.5. Therefore the expression lies between approximately 0.59 and 0.

CAT 2017 Trigonometry — Previous Year Question

CAT 2017

Quantitative

Trigonometry

Easy

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