Click here👆to get an answer to your question ️ Rationalise the denominator √(3)√(2)√(3)√(2)Sin 15° = (1 / √2) (√3 / 2) ( 1/ √2) (1 / 2) = √3 / 2√2 1 / 2√2 = (√3 1) / 2√2 Answer sin 15° = (√3 1) / 2√2 Example 2 Find the exact value of cot 15° Solution To find The value of cot 15° Using one of the angle difference formulas (of tan), tan (A B) = (tan A tan B) / (1 tan A tan B)= cos(600 450 ) = cos 600 cos 450 – sin 600 sin 450 = – √3 /2 X 1 /√2½ X 1 /√2 = 1 2√2 – √3 2√2 = 1 – √3 2√2 Key Question 2 18
Chapter 3 Rationalisation Fraction Mathematics Rational Number
