Question

Tg П/4 * cos 60 + sin П/3

Answer 1

tg$\pi /4$*cos60*sin$\pi /3$ = 1*0,5+$\frac{ \sqrt{3} }{2}$ = $\frac{1+ \sqrt{3} }{2}$

Answer 2

To answer your question in detail, I will use some trigonometric formulas and identities. First, I will convert the angles from radians to degrees, since it is easier to work with them. Then, I will use the values of the trigonometric functions for some common angles, which you can find in a table. Finally, I will simplify the expression using some algebraic rules.

The angle П/4 is equal to 45 degrees, the angle 60 is equal to П/3 radians, and the angle П/3 is equal to 60 degrees. Therefore, we have:

Tg П/4 * cos 60 + sin П/3

= Tg 45 * cos П/3 + sin 60

= 1 * 1/2 + √3/2

= 1/2 + √3/2

= (1 + √3)/2

This is the final answer. I hope this helps you understand the solution.