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RD Chapter 5 Trigonometric Ratios Ex 5.1 Solutions

Question - 21 : - If tan θ = 24/7, find that sin θ + cos θ.

Answer - 21 : -


Question - 22 : - If sin θ = a/b, find sec θ + tan θ in terms of a and b.

Answer - 22 : -


Question - 23 : - If 8 tan A = 15, find sin A – cos A.

Answer - 23 : -


Question - 24 : -

Answer - 24 : -


Question - 25 : -

Answer - 25 : -


Question - 26 : - If ∠A and ∠B are acute angles such that cos A = cos B, then show that ∠A = ∠B.

Answer - 26 : -

∠A and ∠B are acute angles and cos A = cos B
Draw a right angle AABC, in which ∠C – 90°

Question - 27 : - In a ∆ABC, right angled at A, if tan C =√3 , find the value of sin B cos C + cos B sin C. (C.B.S.E. 2008)

Answer - 27 : -


Question - 28 : -
28. State whether the following are true or false. Justify your answer.
(i) The value of tan A is always less than 1.
(ii) sec A = 12/5 for some value of angle A.
(iii) cos A is the abbreviation used for the cosecant of angle A.
(iv) cot A is the product of cot and A.
(v) sin θ = 4/3 for some angle θ.

Answer - 28 : -

(i) False, value of tan A 0 to infinity.
(ii) True.
(iii) False, cos A is the abbreviation of cosine A.
(iv) False, it is the cotengent of angle A.
(v) Flase, value of sin θ varies on 0 to 1.

Question - 29 : -

Answer - 29 : -


Question - 30 : -

Answer - 30 : -


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