## Chapter 8 Introduction to Trigonometry Ex 8.1

**Question 1.**

In ∆ABC right angled at B, AB = 24 cm, BC = 7 cm. Determine:

(i) sin A, cos A

(ii) sin C, cos C
**Solution:**

**Question 2.**

In given figure, find tan P – cot R.
**Solution:**

**Question 3.**

**Question 4.**

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

**Question 5.**

**Solution:**

**Question 6.**

If ∠A and ∠B are acute angles such that cos A = cos B, then show that ∠A = ∠B.
**Solution:**

**Question 7.**

**Solution:**

**Question 8.**

If 3 cot A = 4, check whether 1−tan2A1+tan2A = cos² A – sin² A or not.
**Solution:**

**Question 9.**

**Solution:**

**Question 10.**

In ΔPQR, right-angled at Q, PR + QR = 25 cm and PQ = 5 cm. Determine the values of sin P, cos P and tan P.
**Solution:**

**Question 11.**