This notes is helpful for you.

St. Columbo Public School
Maharana Pratap Enclave, Pitampura
Practice Worksheet 2 - ( Sample paper based)
Ch 8 – Introduction to trignometry
CLASS- X
SUBJECT: Mathematics

Q1. If sin A = 4/5, find the value of (1 + tan² A) / (1 - tan² A).

Q2. If tan θ = 3/4, find sin θ and cos θ, and hence evaluate tan² θ + sec² θ - 2sin² θ.

Q3. sin 2A = 2 sin A is true when A is equal to:

Q4. If sec θ + tan θ = y, find sec θ

Q5. Prove that: (1 - tan² A)/(1 + tan² A) = cos 2A.

Q6. If cos θ + sin θ = √2 cos θ, show that cos θ – sin θ = √2 sin θ.
Q7. Show that: (sin A + cos A)² + (sin A - cos A)² = 2.

Q8. If tan A = 3/4 and tan B = 5/12, find (i) sin(A + B), (ii) cos(A + B), (iii) tan(A + B).

Q9. If sin A = 12/13 and cos B = 4/5, find sin(A - B).

Q10. Prove that sin A / (1 - cos A) = (1 + cos A) / sin A.

Q11. If tan A = 1, find the value of (sin A + cos A) / (sin A - cos A).

Q12. Prove that: (sec A + tan A)(1 - sin A) = cos A / (1 + sin A).

Q13. Prove that: (cosec θ – sin θ) (sec θ – cos θ) (tan θ + cot θ) = 1.
Q14. Prove that: (1 + tan A)/(1 - tan A) = (sec A + tan A)².

Q15. Prove that: sin⁴ A + cos⁴ A = 1 - ½ sin² 2A.