Question

Jika tan 25= p .Hitung (tan 295-tan 45)/(1+2tan295.tan45)

Answer 1

Verified answer

Jawab
tan 25 = p
cot 25 = 1/(tan 25) = 1/p

tan 295 = tan  (270 + 25) = cot 25 = 1/p

( tan 295  -tan 45) / (1 + 2  tan 295 . tan 45)=
= (1/p - 1) / (1 + 2 (1/p)(1))
= (1/p -1 )/ (1 + 2/p)
= (1 - p)/(p+2)