Question

find the value of tan75°

Answer 1

2+✓3 is the value of tan 75

Answer 2

HI FRIEND


VALUE OF 75°

tan(x + y) = (tan(x) + tan(y))/(1 -tan(x)tan(y))

tan(75) = tan(45 + 30)

tan(75) = (tan(45) + tan(30))/(1 - tan(45)tan(30))

tan(75) = ( 1 + √3/3)(1 - 1*√3/3)
tan(75) = ((3 + √3)/3)/((3 - √3)/3)
tan(75) = (3 + √3)/(3 - √3)

Multiply by (3 + √3)/(3 + √3)

tan(75) = (3 + √3)²/(9 - 3)
tan(75) = (9 + 6√3 + 3)/6
tan(75) = (12 + 6√3)/6
tan(75) = 2 + √3

:. The value of tan 75° is 2 + √3


HOPE IT HELPS