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RD Chapter 5 Trigonometric Ratios Ex 5.2 Solutions

Question - 31 : -

Answer - 31 : -


Question - 32 : -
In a ∆ABC right angle at B, ∠A = ∠C. Find the values of
(i) sin A cos C + cos A sin C
(ii) sin A sin B + cos A cos B

Answer - 32 : -


Question - 33 : -

Answer - 33 : -


Question - 34 : - In ΔPQR, right-angled at Q, PQ = 3 cm and PR = 6 cm. Determine ∠P and ∠R.

Answer - 34 : -


Question - 35 : - If sin (A – B) = sin A cos B – cos A sin B and cos (A – B) = cos A cos B + sin A sin B, find the values of sin 15° and cos 15°.

Answer - 35 : -


Question - 36 : - In a right triangle ABC, right angled at ∠C if ∠B = 60° and AB – 15 units. Find the remaining angles and sides.

Answer - 36 : -


Question - 37 : - If ΔABC is a right triangle such that ∠C = 90°, ∠A = 45° and BC = 7 units. Find ∠B, AB and AC.

Answer - 37 : -


Question - 38 : - In a rectangle ABCD, AB = 20 cm, ∠BAC = 60°, calculate side BC and diagonals AC and BD.

Answer - 38 : -


Question - 39 : - If A and B are acute angles such that

Answer - 39 : -


Question - 40 : - Prove that (√3 + 1) (3 – cot 30°) = tan3 60° – 2sin 60°. [NCERT Exemplar]

Answer - 40 : -


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