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Maths Trigonometrical Ratios, Functions and Identities Mix Subjective Type

Published on: August 14, 2026

If 0 < x < π /4 and cos x + sin x = 5/4 find numerical value of cos x – sin x.

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The correct answer is:

CHECK THE SOLUTION.

Let cosx–sinx= α ...(i)

(also α >0,because 0< x < π /4)

cos x + sin x = 5/4 ....(ii)

(i) 2 + (ii) 2

2 = α 2 + ⇒ α 2 = ⇒ α =

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