In Δ ABC, right-angled at B, AB = 24 cm, BC = 7 cm. Determine:
(i) Sin A, Cos A
(ii) Sin C, Cos C
In Fig. 8.13, find tan P – cot R.
If sin calculate Cos A and tan A
Given 15 cot A = 8, find sin A and sec A
Given sec calculate all other trigonometric ratios
If ∠ A and ∠ B are acute angles such that Cos A = Cos B, then show that ∠ A = ∠ B
If evaluate:
(i)
(ii)
If 3 cot A = 4, check whetheror not
In triangle ABC, right-angled at B, if find the value of:
(i) Sin A Cos C + Cos A Sin C
(ii) Cos A Cos C – Sin A Sin C
In Δ PQR, right-angled at Q, PR + QR = 25 cm and PQ = 5 cm. Determine the values of Sin P, Cos P and tan P
State whether the following are true or false. Justify your answer.
(i) The value of tan A is always less than 1
(ii) Secfor 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) for some angle θ
Evaluate the following:
(iii)
(iv)
(v)
Choose the correct option and justify your choice:
Sin 2A = 2 sin A is true when A =
If and find A and B
State whether the following are true or false. Justify your answer
(i) Sin (A + B) = sin A + sin B
(ii) The value of sin θ increases as θ increases
(iii) The value of cos θ increases as θ increases.
(iv) Sin θ = cos θ for all values of θ.
(v) Cot A is not defined for A = 0°
Evaluate:
(iii) Cos 48° – sin 42°
(iv) Cosec 31° – sec 59°
Show that:
(i) tan 48° tan 23° tan 42° tan 67° = 1
(ii) cos 38° Cos 52° – sin 38° sin 52° = 0
If tan 2A = cot (A – 18°), where 2A is an acute angle, find the value of A
If tan A = cot B, prove that A + B = 90°
If sec 4A = cosec (A – 20°), where 4A is an acute angle, find the value of A
If A, B and C are interior angles of a triangle ABC, then show that
Express sin 67° + Cos 75° in terms of trigonometric ratios of angles between 0° and 45°
Express the trigonometric ratios sin A, sec A and tan A in terms of cot A
Write all the other trigonometric ratios of ∠ A in terms of sec A
(ii) Sin 25° Cos 65° + Cos 25° Sin 65°
Choose the correct option. Justify your choice.
(Sec A + tan A) (1 – sin A) =
Prove the following identities, where the angles involved are acute angles for which the expressions are defined.
(v) using the identity
(vi)
(vii)
(viii)
(ix) [Hint: Simplify LHS and RHS separately]
(x)
Draw the graph of 2x – 3y = 4. From the graph, find whether x = -1, y = -2 is a solution or not. (Final)
using the identity 
[Hint: Simplify LHS and RHS separately]