Question

Plsss slove fast...
If tan x = sin 95° cos 45° + sin 30°, then find the value of x.

Answer 1

sin 5 = sin 5 pie/180 = sin pie/36.


As pie/36 is small take it as pie/36

cos 5 = √1 - sin^2 5 = √ 1- pie^2/1296 = √0.9 = 0.95

sin(90+5) cos 45 + sin 30

cos 5 cos 45 + sin 30

0.95 /√2 + 1/2
0.67 + 0.5
1.17

tan x = 1.17

as tan 45 = 1 and tan 60 = 1.7

so it will be between 45 and 60 degree

THIS MUCH IS POSSIBLE TO ESTIMATE

AND I CAN NEVER BE WRONG


THANK YOU