Question

Знак значений sin174°; cos132°; tg205°; sin(-12°)

Answer 1

Sin(174)= - 0,94  cos(132)=0,99  sin(-12)=0,54

Answer 2

Значения тригонометрических функций

sin(174°): The sine function is a trigonometric function that relates the angle of a right triangle to the ratio of the length of the side opposite the angle to the length of the hypotenuse. The sine function is periodic with a period of 360 degrees or 2π radians. Therefore, we can find the value of sin(174°) by finding the value of sin(174° - 180°), which is equivalent to sin(-6°).

Using a calculator or a trigonometric table, we can find that sin(-6°) is approximately -0.1045284633 [[1]].

cos(132°): The cosine function is another trigonometric function that relates the angle of a right triangle to the ratio of the length of the adjacent side to the length of the hypotenuse. Like the sine function, the cosine function is also periodic with a period of 360 degrees or 2π radians. Therefore, we can find the value of cos(132°) by finding the value of cos(132° - 180°), which is equivalent to cos(-48°).

Using a calculator or a trigonometric table, we can find that cos(-48°) is approximately 0.6691306064 [[2]].

tg(205°): The tangent function is a trigonometric function that relates the angle of a right triangle to the ratio of the length of the side opposite the angle to the length of the side adjacent to the angle. The tangent function is also periodic with a period of 180 degrees or π radians. Therefore, we can find the value of tg(205°) by finding the value of tg(205° - 180°), which is equivalent to tg(25°).

Using a calculator or a trigonometric table, we can find that tg(25°) is approximately 0.4663076582 [[3]].

sin(-12°): Similar to the first example, we can find the value of sin(-12°) by finding the value of sin(-12° + 180°), which is equivalent to sin(168°).

Using a calculator or a trigonometric table, we can find that sin(168°) is approximately 0.2079116908 [[4]].

Значения тригонометрических функций:

- sin(174°) ≈ -0.1045284633 - cos(132°) ≈ 0.6691306064 - tg(205°) ≈ 0.4663076582 - sin(-12°) ≈ 0.2079116908

Please note that these values are approximate and rounded for simplicity.