how can we calculate the value of
Cos 10+sin 10/cos 10- sin 10
I would use a calculator set to radians , (since you did not declare it in degrees, we assume radians)
lol.. it is a calculator work for me
To calculate the value of the expression (cos 10 + sin 10) / (cos 10 - sin 10), we will follow these steps:
Step 1: Calculate the individual values of cos 10 and sin 10.
- To find cos 10, you can use a calculator or a trigonometric table. For example, if you use a calculator, you would input "cos(10)" to get the value, which is approximately 0.9848.
- Similarly, find sin 10 using a calculator or a trigonometric table. For example, sin 10 is approximately 0.1736.
Step 2: Substitute the calculated values into the expression.
- Replace cos 10 with 0.9848 and sin 10 with 0.1736.
- So, the expression becomes: (0.9848 + 0.1736) / (0.9848 - 0.1736).
Step 3: Perform the arithmetic calculation.
- Add the values in the numerator: 0.9848 + 0.1736 = 1.1584.
- Subtract the values in the denominator: 0.9848 - 0.1736 = 0.8112.
- Divide the numerator by the denominator: 1.1584 / 0.8112 = 1.4284.
Therefore, the value of the expression (cos 10 + sin 10) / (cos 10 - sin 10) is approximately 1.4284.