Question

@Nnesha - Can you Help?:
What is the exact value of tan 75 degrees?
Not just answers please, explain how to do it...
PLEASE HELP!!!

Answer 1

Hint : \(\large 75 = 30+45\)

Answer 2

look up \(\tan(A+B)\) formula in ur notes

Answer 3

ok so with the half angle formula right?

Answer 4

@ganeshie8

Answer 5

I get this:
tan 75 = tan (150)/2 = 1 - cos(theta)/sin (theta) = 1-(-sqrt(3)/2)/(1/2) = 2 + sqrt (3)

Answer 6

Looks a little weird but I think its right??

Answer 7

i would use this one \[\huge\rm tan(\color{reD}{a}+\color{blue}{b})=\frac{ \tan \color{red}{a}+ \tan \color{blue}{b} }{ 1-tan\color{reD}{a}tan\color{blue}{b} }\]
sum formula for tan

Answer 8

a ,b are two numbers on the unit circle that add up to 75 degree

Answer 9

look above 't first comment by ganeshie8
30+45=75
so
a=30
b=45

Answer 10

got it thanks!

Answer 11

np