if tan69 + tan66 - tan69.tan66=2k then find value of k

Asked by  | 1st Sep, 2012, 10:28: AM

Expert Answer:

69+66=135

apply "tan" on both sides

tan(69+66)=tan135 

tan69+tan66/1-tan69tan66= -1 

tan69+tan66 = -1+tan69tan66

=> tan69 + tan66-tan69tan66 = -1

=> k= -1/2

Answered by  | 2nd Sep, 2012, 11:46: AM

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