Half Angle Formula
The following formulation are 1/2 of attitude formulation for sin, cos, and tan respectively.
sin (θ / 2) = √ 1 – cos θ / 2
cos (θ / 2) = √ 1 + cos θ / 2
tan (θ / 2) = 1 – cos θ / sin θ
The 1/2 of attitude calculator is used to degree the trigonometric values for 1/2 of attitude (θ/2). This calculator aids in comparing the trigonometric price via way of means of the usage of the 1/2 of attitude formulation. Our 1/2 of attitude formulation calculator reduces the problem with inside the trigonometric capabilities via way of means of automating the process.
In this content, we are able to manual you on the way to use 1/2 of attitude identification calculator, 1/2 of attitude formulation, and the way to discover 1/2 of attitude.
How to apply 1/2 of attitude calculator?
To use our 1/2 of attitude formulation calculator for comparing 1/2 of attitude for trigonometric identities, observe those steps:
- Enter the θ attitude in diploma the textual content box.
- Click at the trigonometric feature you need to calculate, i.e., sin, cos, or tan.
You can use our double attitude calculator in case you want to calculate the double attitude.
How to calculate 1/2 of attitude?
Let’s calculate half angle of attitude little by little with an example.
https://www.calculators.tech/half-angle-calculator
Example:
Calculate the 1/2 of attitude for sin, cos, and tan for a 120-diploma attitude.
To discover 1/2 of attitude for sin, cos, tan, observe the stairs below:
Step 1: Substitute the given attitude with inside the 1/2 of attitude formulation for sine.
sin θ/2 = √1 – cos θ / 2
= √1 – cos (120) / 2
= √1 – (-0.5) / 2
= 0.866
= 0.866 sin θ/2
Step 2: Place the given attitude with inside the 1/2 of attitude formulation for cosine.
cos θ/2 = √1 + cos θ / 2
= √1 + cos (120) / 2
= √1 + (-0.5) / 2
= 0.5 cos θ/2
= 0.5
Step 3: Substitute the given attitude within side the 1/2 of attitude formulation for the tangent.
tan θ/2 = 1 – cos θ / sin θ
= 1 – cos (120) / sin (120)
= 1 – (-0.5) / (0.866)
= 1.73205
tan θ/2 = 1.73205
The 1/2 of attitude calculator genuine price might be similar to calculated via way of means of the above formulation.
