What is the exact value of the expression?
tan(π3)+ cos(5π6) · sin(−3π/4)
Already answered here: https://web2.0calc.com/questions/what-is-the-exact-value-of-the-expression-tan-3-sin-5-6-cos-3-4
sin pi/3 = sqrt 3/2
cos pi/3 = 1/2 so tan pi/3 = sqrt 3
cos 5pi/6 = - sqrt3/2
sqrt 3 - sqrt3/2 = sqrt 3/ 2
sqrt3 /2 * -sqrt2/2 = - sqrt 6 / 4