The value of the expression (sin 80° – cos80°) is negative.
Solution. (sin 80° – cos 80°)
We know that from 0 to 90° sin and cos both are positive i.e.
At 45° both the values of sin and cos are the same but after 45° to 90° value of sin is greater than the value of cos Hence sin 80° > cos 80°.
If we subtract a smaller term from bigger than the result is positive.
Hence (sin 80° – cos80°) > 0
So, the given statement is false