How to find angle between 0°and 360° whose sine is 0.9962
To find the angle between 0° and 360° whose sine is 0.9962, you can use the inverse sine function, also known as arcsine, denoted as sin⁻¹.
Here are the steps to find the angle:
Step 1: Enter the value into your calculator. sin⁻¹(0.9962).
Step 2: Calculate the inverse sine using the calculator to get the result. The result will be in radians.
Step 3: Convert the answer from radians to degrees by multiplying it by 180/π (approximately 57.3).
Step 4: Check if the angle is already within the range of 0° to 360°. If it is, then that is your answer. If not, use the following steps to adjust the angle.
Step 5: Subtract 360° from the angle until it falls within the range of 0° to 360°.
Once you follow these steps, you will find the angle between 0° and 360° whose sine is 0.9962.
To find the angle between 0° and 360° whose sine is 0.9962, we can use the inverse sine function or arcsine.
Step 1: Calculate the inverse sine of the given sine value using a calculator or a computer software. The inverse sine of 0.9962 is approximately 83.02°.
Step 2: Check if the calculated angle is within the range of 0° to 360°. In this case, the calculated angle of 83.02° is within the desired range.
Therefore, the angle between 0° and 360° whose sine is 0.9962 is approximately 83.02°.
sin 85° = 0.9962
In the second quadrant, the values for sin are positive.
You can use formula:
sin ( 180° - θ ) = sin θ
sin ( 180° - 85° ) = sin 95° = sin 85° = 0.9962
In the third and fourth quadrants the values for sin are negative, so the only angles between 0°and 360° whose sine is 0.9962 are:
θ = 85° and θ = 95°