Using tables or a calculator, find tan 16 degrees 15 + cot 32.7 degrees to the nearest hundreths
tan16 = 0.29.
cot32.7 = 1/tan32.7,
tan32.7 = 0.6420,
cot32.7 = 1/0.6420 = 1.56.
To find the value of tan(16°15') + cot(32.7°), you can either use tables or a calculator. Here's how you can do it using a calculator:
1. Make sure your calculator is set to degree mode (°).
2. Calculate the tangent of 16°15':
- Enter 16.15 on your calculator.
- Press the "tan" button to find the tangent of the angle.
- Note down the result.
3. Calculate the cotangent of 32.7°:
- Enter 32.7 on your calculator.
- Press the "1/x" or "inv" or "cot" button (depending on your calculator) to find the cotangent of the angle.
- Note down the result.
4. Add the two results together:
- Use the previously noted down values and add them together.
- Round the final result to the nearest hundredths (two decimal places).
That's it! You should now have the value of tan(16°15') + cot(32.7°) rounded to the nearest hundredths.