KCET2010MathematicsTrigonometric Ratios & Identities

12^ 102^ + 102^ 66^ + 66^ 12^ is

Options

Correct answer

B. 1

Step-by-step solution

12^ 102^ + 102^ 66^ + 66^ 12^ 12^ (90^ +12^ )+ (90^ +12^ ) 66^ + 66^ 12^ =- 12^ 12^ - 12^ 66^ + 66^ 12^ =-1+ 66^ 12^ - 12^ =-1+ 66 1- ² 12^ 12^ =-1+2 66^ ² 12^ -1 2 12^ =-1+2 66^ 24^ =-1+2 66^ (90^ -66^ )=-1+2 66^ 66^ =2-1=1

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