Math, asked by abhishek14580, 11 months ago

What will the the value of cot 15

Answers

Answered by tusharraj99
2
cot 15= tan(90-75)=tan(75)=sin 75 /cos 75
=sin(30+45)/cos(30+45)
=sin(30+45)=sin(30)cos(45)+sin(45)cos(30)
=1/√2[1/2+√3/2] this is sin(30+45) value by using sin(A+B) formula
next applying cos(A+B)
=cos(30+45)=cos3ocos45 -sin30sin45/√2[√3/2-1/2]
there fore ur answer is √3+1÷√3-1
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