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Grade 12th PassTrigonometry

tan 100. + tan 125.+ (tan 100. )(tan 125.) is equal to

A. 0 B. 1/2 C. -1 D. 1

EXPLAIN HOW?

Profile image of Aditi Bhatnagar
14 Years agoGrade 12th Pass
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1 Answer

Profile image of G Narayana  Raju
ApprovedApproved Tutor Answer14 Years ago

tan225=tan(125+100),

tan(180+45)= (tan125+tan100)/(1-tan125tan100),

tan45=(tan125+tan100)/(1-tan125tan100),

1=(tan125+tan100)/(1-tan125tan100),

tan125+tan100=1-tan125tan100,

tan125+tan100+tan125tan100=1.