9303753286127016 Practice Questions for Class 10 Maths - Trigonometric Ratios

Practice Questions for Class 10 Maths - Trigonometric Ratios

 

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.

R D Sharma Solutions For Class 10 Maths Chapter 5 Trigonometric Ratios ex 5.1 - 1

(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

R D Sharma Solutions For Class 10 Maths Chapter 5 Trigonometric Ratios ex 5.1 - 2

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

R D Sharma Solutions For Class 10 Maths Chapter 5 Trigonometric Ratios ex 5.1 - 3

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

R D Sharma Solutions For Class 10 Maths Chapter 5 Trigonometric Ratios ex 5.1 - 4



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

R D Sharma Solutions For Class 10 Maths Chapter 5 Trigonometric Ratios ex 5.1 - 5

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.

R D Sharma Solutions For Class 10 Maths Chapter 5 Trigonometric Ratios ex 5.1 - 6

7. If cot θ = 7/8, evaluate

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

    (ii)  cotθ

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

R D Sharma Solutions For Class 10 Maths Chapter 5 Trigonometric Ratios ex 5.1 - 10

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



Balkishan Agrawal

At the helm of GMS Learning is Principal Balkishan Agrawal, a dedicated and experienced educationist. Under his able guidance, our school has flourished academically and has achieved remarkable milestones in various fields. Principal Agrawal’s vision for the school is centered on providing a nurturing environment where every student can thrive, learn, and grow.

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