Trigonometry [TRICKS TO LEARN] EXERCISE 8.1

 Pandit Badri Prasad 

Har Har Bol

Sona Chandi Tol

Sin= P/H

Cos= B/H

Tan=P/B

This are the tricks to learn the simple TRIGONOMETRY. 

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EXERCISE 8.1 

MADE SIMPLE 

Maths 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:

 Maths Question 2.
In given figure, find tan P – cot R.
Solution:

Maths Question 3.
If sin A = 34 , calculate cos A and tan A.
Solution:

Maths Question 4.
Given 15 cot A = 8, find sin A and sec A.
Solution:

 Maths Question 5.
Given sec θ = 1312 , calculate all other trigonometric ratios.
Solution:

Maths Question 6.
If ∠A and ∠B are acute angles such that cos A = cos B, then show that ∠A = ∠B.
Solution:

Maths Question 7.
If cot θ = 78, evaluate:
(i) (1+sinθ)(1−sinθ)(1+cosθ)(1−cosθ)
(ii) cot²θ
Solution:

Maths Question 9.
In triangle ABC, right angled at B, if tan A = 1√3, find the value of:
(i) sin A cos C + cos A sin C
(ii) cos A cos C – sin A sin C
Solution:

 Maths 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:

Maths Question 11.
State whether the following statements are true or false. Justify your answer.
(i) The value of tan A is always less than 1.
(ii) sec A = 125 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 θ = 43 for some angle.
Solution:

Jbc 2022* CLASS10 MATHS TRIGONOMETRY