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RD Chapter 5 Trigonometric Ratios Ex 5.1 Solutions

Question - 1 : - In each of the following, one of the six trigonometric ratios is given. Find the values of the other trigonometric ratios.

Answer - 1 : - ∴Perpendicular BC – 2 units and
Hypotenuse AC = 3 units
By Phythagoras Theorem, in AABC,
(Hypotenuse)2 = (Base)2 + (Perpendicular)2
AC2 = AB2 + BC2
⇒ (3)2 =(AB)2 + (2)2
⇒ 9 = AB2 +4 ⇒ AB2 = 9-4= 5
AB = √5 units

Question - 2 : -
In a ΔABC, right angled at B, AB = 24 cm, BC = 7 cm. Determine
(i) sin A, cos A
(ii) sin C, cos C.

Answer - 2 : -


Question - 3 : - In the figure, find tan P and cot R. Is tan P = cot R ?

Answer - 3 : -


Question - 4 : - If sin A = 9/41, compute cos A and tan A.

Answer - 4 : -


Question - 5 : - Given 15 cot A = 8, find sin A and sec A.

Answer - 5 : -



Question - 6 : - In ΔPQR, right angled at Q, PQ = 4 cm and RQ = 3 cm. Find the values of sin P, sin R, sec P and sec R.

Answer - 6 : -


Question - 7 : - If cot 0 = 7/8, evaluate :

Answer - 7 : -


Question - 8 : - If 3 cot A = 4, check whether = cos2 A – sin2 A or not.

Answer - 8 : -


Question - 9 : - If tan θ = a/b , Find the Value of  

Answer - 9 : -


Question - 10 : - If 3 tan θ = 4, find the value of 4cos θ – sin θ  

Answer - 10 : -

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