Quotient Relation Of T-Ratios

Trigonometry of Class 10

For any acute angle θ, prove that

(i) Quotient Relation Of T-Ratios (ii)

Proof: Consider a right-angled ΔPQR in which ∠Q = 90º and
∠P = θº. Let PQ = x units, RQ = y units and PR = z units. Then,

(i) Quotient Relation Of T-Ratios [dividing num. and denom. by z ]

Quotient Relation Of T-Ratios

∴ Quotient Relation Of T-Ratios .

(ii) Quotient Relation Of T-Ratios [dividing num. and denom. by z ] = .