Grade 11Trigonometry

IF tan(pie cosa)=cot(pie sina)

prove that: cos(a-45)=1/2√2

divya vikash

15 Years agoGrade 11

3 Answers

Rahul askIITiansExpert.IITR

15 Years ago

the problem is fairly simple

cot x = tan ( pie/2 - x ).

so, pie/2-piesina = piecosa

1/2-sina=cosa

cosa+sina=1/2

cosa/√2 +sina/√2 =1/2√2

cos(a-45)=1/2√2

hence

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yash mittal

15 Years ago

tan(piecosa) = cot(piesina)

yash mittal

15 Years ago

tan(piecosa) = cot(piesina) tan(piecosa) = tan(90-180sina) cosa + sina= 90 cos(45-a) =1by2root2 (multiplying and div both sides by 1by root2) hence proved