Question

6*sin180⁰ + 5*cos180⁰​

Answer 1

sin180° = 0,

cos180° = -1.

6sin180° + 5cos180° = 6·0 + 5·(-1) = -5

Answer 2

The values of sine and cosine for an angle of 180 degrees are well-defined. In trigonometry, sine represents the ratio of the length of the side opposite to an angle to the hypotenuse in a right triangle, while cosine represents the ratio of the length of the adjacent side to the hypotenuse. However, when the angle is 180 degrees, the triangle becomes degenerate, and the values can be determined without reference to a triangle.

For an angle of 180 degrees:

sin(180°) = 0 cos(180°) = -1

Substituting these values into the expression:

6sin(180°) + 5cos(180°) = 60 + 5(-1) = 0 - 5 = -5

Therefore, 6sin(180°) + 5cos(180°) equals -5.