## Extra Questions for Class 10 Maths Trigonometry

Q1. **Evaluate the following:**

(i) cosec^{2} 45° + tan^{2} 45° – 3sin^{2} 90°

(ii) cos 60° cos 30° – sin 60° sin 30°

Q2. In an acute angle triangle ABC, sin (A + B – C) = 1/2, cot (A – B + C) = 0 and cos (B + C – A) =1/2. What are the values of A, B, and C?

Q3. In triangle PQR, right-angled at Q if PR = 41 units and PQ – QR = 31 find sec^{2}R – tan^{2}R.

Q4. If (1 + cos A) (1 – cos A) =3/4, find the value of sec A.

Q5. Given that sin θ = a/b, find the value of tan θ.

Q6. If sin θ = cos θ, then find the value of 2 tan θ + cos^{2} θ.

Q7. If sinθ = x and sec θ = y then find the value of cot θ.

Q8. Find the value of sin 38° – cos 52°.

Q9. If sin θ = 1/3, then find the value of (2 cot² θ + 2).

see also: NCERT Solutions For Class 10 Maths Chapter 4 Quadratic Equations