Question

3cos116°/sin^2 58-cos 58​

Answer 1

Ответ:

сворачивает в cos (58+32)=cos90=0

Answer 2

To evaluate the expression, let's break it down step by step:

1. Start with the expression: 3cos(116°) / sin^2(58°) - cos(58°)

2. Use a calculator or trigonometric table to find the values of cos(116°) and sin(58°).

   cos(116°) ≈ -0.4972 sin(58°) ≈ 0.8480

3. Substitute the values into the expression:

   3(-0.4972) / (0.8480)^2 - cos(58°)

4. Calculate the square of sin(58°):

   (0.8480)^2 ≈ 0.7185

5. Simplify the expression:

   -1.4916 / 0.7185 - cos(58°)

6. Use a calculator or trigonometric table to find the value of cos(58°):

   cos(58°) ≈ 0.5592

7. Substitute the value of cos(58°) into the expression:

   -1.4916 / 0.7185 - 0.5592

8. Perform the division and subtraction:

   ≈ -2.0745 - 0.5592

9. Finally, subtract the two values:

   ≈ -2.6337

Therefore, 3cos(116°) / sin^2(58°) - cos(58°) is approximately equal to -2.6337.