If tan66 + tan69 - tand66 cross times tan69 = 2k  then the value of k is ? 

Asked by Deepak Singh | 31st May, 2014, 08:32: PM

Expert Answer:

W e space k n o w space t h a t comma 69 plus 66 equals 135 C o n s i d e r space t a k i n g space tan space o n space b o t h space s i d e s comma space w e space h a v e tan open parentheses 69 plus 66 close parentheses equals tan 135 rightwards double arrow fraction numerator tan 69 plus tan 66 over denominator 1 minus tan 69 cross times tan 66 end fraction equals tan open parentheses pi minus pi over 4 close parentheses rightwards double arrow fraction numerator tan 69 plus tan 66 over denominator 1 minus tan 69 cross times tan 66 end fraction equals minus tan pi over 4 rightwards double arrow fraction numerator tan 69 plus tan 66 over denominator 1 minus tan 69 cross times tan 66 end fraction equals minus 1 rightwards double arrow tan 69 plus tan 66 equals minus 1 plus tan 69 cross times tan 66 rightwards double arrow tan 69 plus tan 66 minus tan 69 cross times tan 66 equals minus 1 rightwards double arrow tan 69 plus tan 66 minus tan 69 cross times tan 66 equals minus 1 equals 2 k rightwards double arrow k equals fraction numerator minus 1 over denominator 2 end fraction

Answered by Vimala Ramamurthy | 1st Jun, 2014, 10:59: AM

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