In right-angled triangle ABC, ∠C = 90° and ∠A = 30°
MATHEMATICS · Multi-part · CBSE · Mathematics · Introduction to Trigonometry · Introduction to Trigonometry
Problem
In right-angled triangle ABC, ∠C = 90° and ∠A = 30°. The length of side AC is 6√3 cm.
(i) Find the length of the hypotenuse AB.
(ii) Using the values of the sides, verify that sin A = cos B.
(iii) Determine the length of side BC and hence show that tan A × tan B = 1.