Question

tan (a+b) = tan a + tan b / 1- tan a tan b , find the value of tan 75 degree and tan 90 degree by taking sutaible values of a and b​

Answer 1

Answer:

hey mate !!!!!!!!!!

Step-by-step explanation:

W e know that Tan(A + B) = (TanA + TanB)/(1-TanATanB)

tan 75° = Tan(45°+ 30°) = (Tan45° + Tan30°)/(1-Tan 45° Tan30°)

tan 75° = (1 + 1 / √3 ) / (1 - 1 /√3)

tan 75° = (√3 + 1  ) / (√3 - 1 )

by rationalisation by (√3+1)

tan75° = (√3 + 1  )*(√3+1) / (√3 - 1 )*(√3 + 1  )

tan75°. = (4+2√3)/2 = (2+ √3)

hope it's helpful ^_^