evaluate each of the following..sin 130.tan 60/cos 540.tan 230.sin 400

or, reduce to

(sin 50)(tan 60) / (cos 180)(tan 50)(sin 40)
= (cos 40)(cot 30) / -(cot 40)(sin 40)
= -cot 30
= -√3

Huh. Strange font messup

that's -√3

sin 130.tan 60/cos 540.tan 230.sin 400

To evaluate each expression, we need to use the trigonometric functions and substitute the given angles. Let's break down and evaluate each expression step by step:

1) sin 130:
To find the value of sin 130, you can use a calculator or a trigonometric table. If you want to find it manually, you can use the following steps:
- Convert 130 degrees to radians by multiplying it by π/180: 130 * π/180 ≈ 2.2689 radians.
- Since 130 degrees is in the second quadrant, the sine function is positive.
- The sine function for 2.2689 radians is approximately 0.8925.

Therefore, sin 130 ≈ 0.8925.

2) tan 60:
To find the value of tan 60, you can use a calculator or a trigonometric table. If you want to find it manually, you can use the following steps:
- Convert 60 degrees to radians by multiplying it by π/180: 60 * π/180 = π/3 radians.
- Since 60 degrees is in the first quadrant, the tangent function is positive.
- The tangent function for π/3 radians is equal to the square root of 3 (√3).

Therefore, tan 60 = √3.

3) cos 540:
To find the value of cos 540, you can use a calculator or a trigonometric table. If you want to find it manually, you can use the following steps:
- Convert 540 degrees to radians by multiplying it by π/180: 540 * π/180 = 3π radians.
- Since 540 degrees is in the third quadrant, the cosine function is negative.
- The cosine function for 3π radians is equal to -1.

Therefore, cos 540 = -1.

4) tan 230:
To find the value of tan 230, you can use a calculator or a trigonometric table. If you want to find it manually, you can use the following steps:
- Convert 230 degrees to radians by multiplying it by π/180: 230 * π/180 ≈ 4.0142 radians.
- Since 230 degrees is in the third quadrant, the tangent function is negative.
- The tangent function for 4.0142 radians is approximately -1.2896.

Therefore, tan 230 ≈ -1.2896.

5) sin 400:
To find the value of sin 400, you can use a calculator or a trigonometric table. If you want to find it manually, you can use the following steps:
- Convert 400 degrees to radians by multiplying it by π/180: 400 * π/180 ≈ 6.9813 radians.
- Since 400 degrees is in the fourth quadrant, the sine function is negative.
- The sine function for 6.9813 radians is approximately -0.9823.

Therefore, sin 400 ≈ -0.9823.

In summary:
- sin 130 ≈ 0.8925
- tan 60 = √3
- cos 540 = -1
- tan 230 ≈ -1.2896
- sin 400 ≈ -0.9823

just plug the numbers into your favorite calculator. What's the trouble?