Q) If sin θ = , prove that . Ans: Let’s start LHS: = = ∵ 1- cos2 θ= sin2 θ ∴ LHS = = = = = cot θ ∵ sin θ = ∴ cot θ = ∴ LHS = = RHS Hence Proved !

If sin θ = 3/4, prove that Root [(cosec 2θ − cot 2 θ} / (sec 2 θ − 1)] = √7 / 3 Read More »

Q) If sin θ = , prove that . Ans: Let’s start LHS: = = ∵ 1- cos2 θ= sin2 θ ∴ LHS = = = = = cot θ ∵ sin θ = ∴ cot θ = ∴ LHS = = RHS Hence Proved !

If sin θ = 3/4, prove that Root [(cosec 2θ − cot 2 θ} / (sec 2 θ − 1)] = √7 / 3 Read More »

Q) Solve for x and y: = -1; = 3 Ans: Let’s take the equations one by one: = -1 3X + 4 Y = – 6 ………. (i) Similarly, = 3 We can write this as: = 3 3X – Y = 9 ….. (ii) By solving equations (i) and (ii), we get: X =

Solve for x and y : x / 2 + 2y / 3 = − 1; x − y / 3 = 3 Read More »

Q) In Fig. AD bisects ∠A, AB = 12 cm, AC = 20 cm and BD = 5 cm, determine CD. Ans: ∵ AD bisects ∠ A We know that, according to the angle bisector theorem, the angle bisector of a triangle divides the opposite side into two parts that are proportional to the other

In Fig. AD bisects ∠A, AB = 12 cm, AC = 20 cm and BD = 5 cm, determine CD. Read More »