Question

8sinп/6-21tg² п/6+ tgп/4

Answer 1

что это? это 7 или 8 класс что ли?

Answer 2

To evaluate the expression 8sin(π/6) - 21tan²(π/6) + tan(π/4), let's simplify each term step by step:

1. Recall the values of trigonometric functions for π/6 and π/4:

   • sin(π/6) = 1/2
   • tan(π/6) = √3/3
   • tan(π/4) = 1

2. Substitute these values into the expression: 8sin(π/6) - 21tan²(π/6) + tan(π/4) = 8(1/2) - 21(√3/3)² + 1

3. Simplify: = 4 - 21(3/3) + 1 = 4 - 21 + 1 = -16

Therefore, the value of the expression 8sin(π/6) - 21tan²(π/6) + tan(π/4) is -16.