# Practice Questions for Class 10 Maths - Trigonometric Ratios

**1. In each of the following, one of the six trigonometric ratios s given. Find the values of the other trigonometric ratios.**

**(i) sin A = 2/3**

**(****ii) cos A = 4/5**

**(iii) tan θ = 11/1**

**(iv) sin θ = 11/15**

**(v) tan α = 5/12**

**(vi) sin θ = √3/2**

**(vii) cos θ = 7/25**

**(viii) tan θ = 8/15**

**(ix) cot θ = 12/5**

**(x) sec θ = 13/5**

**2. In a △ ABC, right angled at B, AB = 24 cm , BC = 7 cm. Determine**

**(i) sin A , cos A (ii) sin C, cos C**

**3. In fig. 5.37, find tan P and cot R. Is tan P = cot R? **

**4. If sin A = 9/41, compute cos A and tan A.**

**5. Given 15cot A= 8, find sin A and sec A.**

**6. In △PQR, right-angled at Q, PQ = 4cm and RQ = 3 cm. Find the value of sin P, sin R, sec P and sec R.**

**7.** **If cot θ = 7/8, evaluate**

** (i) (1+sin θ)(1–sin θ)/ (1+cos θ)(1–cos θ)**

** (ii) cot2 θ**

**8. If 3cot A = 4, check whether (1–tan2A)/(1+tan2A) = (cos2A – sin2A) or not.**

**9. If tan θ = a/b, find the value of (cos θ + sin θ)/ (cos θ – sin θ)**

**10. If cos θ = 12/13, show that sin θ(1 – tan θ) = 35/156**