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Consider \triangle ACB, right-angled at C, in which AB = 29 \ \text{units}, BC = 21 \ \text{units} and \angle ABC = \theta.
 
YCIND_240411_6187_Intro2Trig_3.png
 
Determine the values of:
 
(i) cos^2 \ \theta + sin^2 \ \theta =
 
(ii) cos^2 \ \theta - sin^2 \ \theta = ii