Looking for accurate SEBA Class 10 Maths Exercise 8.1 (Introduction to Trigonometry) textual solutions for the 2026–27 academic year? Access complete step-by-step solutions covering trigonometric ratios (sine, cosine, tangent, cosecant, secant, cotangent), right-angled triangle side calculations using the Pythagoras theorem, and ratio evaluations to score top marks in your HSLC board exams.
EXERCISE 8.1
1. In Triangle ABC, right-angled at B, AB = 24 cm, BC = 7 cm. Determine:(i) sin A, cos A(ii) sin C, cos C
2. In Fig. 8.13, find tan P – cot R.
3. If sin A = 3/4, calculate cos A and tan A.
4. Given 15 cot A = 8, find sin A and sec A.
SEBA Class 10 Maths Exercise 8.1 Solutions
5. Given sec theta = 13/12, calculate all other trigonometric ratios.
6. If Angle A and Angle B are acute angles such that cos A = cos B, then show that Angle A = Angle B.
Class 10 Maths Chapter 8 Exercise 8.1 Question Answer SEBA 2026-27
7. If cot theta = 7/8, evaluate:(i) [(1 + sin theta)(1 – sin theta)] / [(1 + cos theta)(1 – cos theta)](ii) cot^2 theta
8. If 3 cot A = 4, check whether (1 – tan^2 A) / (1 + tan^2 A) = cos^2 A – sin^2 A or not.
Introduction to Trigonometry Class 10 SEBA Ex 8.1 Solutions
9. In triangle ABC, right-angled at B, if tan A = 1/sqrt(3), find the value of:(i) sin A cos C + cos A sin C(ii) cos A cos C – sin A sin C
SEBA Class 10 Maths Chapter 8 Exercise 8.1 Textbook Answers
10. In Triangle PQR, right-angled at Q, PR + QR = 25 cm and PQ = 5 cm. Determine the values of sin P, cos P and tan P.
11. State whether the following are true or false. Justify your answer.
(i) The value of tan A is always less than 1.
(ii) sec A = 12/5 for some value of angle A.
(iii) cos A is the abbreviation used for the cosecant of angle A.
(iv) cot A is the product of cot and A.
(v) sin theta = 4/3 for some angle theta.
12. In a triangle ABC, Angle B = 90 degrees, sin A = 3/5 then the value of cos A is:(a) 5/3(b) 3/5(c) 4/5(d) 5/4
Class 10 Maths Exercise 8.1 Trigonometric Ratios
📐 Updated Solutions Notice: This page features complete, step-by-step SEBA Class 10 Mathematics Chapter 8 (Introduction to Trigonometry) Exercise 8.1 Textual Solutions updated for the 2026–27 academic session. All trigonometric ratio definitions ($\sin \theta$, $\cos \theta$, $\tan \theta$), hypotenuse-opposite-adjacent relations, and Pythagoras theorem applications strictly follow the latest revised Assam Board (SEBA/ASSEB) curriculum.
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