Select the parameter and enter its value to calculate the corresponding half angle by this half angle calculator.
Half angle formulas are used to merge the relational trigonometric expressions. these formulation may be derived from double angle identities and utilized to decide the 1/2-angle identity of sine (sin), cosine (cos), and tangent (tan). the web half of angle calculator is beneficial in calculating the envisioned trigonometric capabilities.
$$ Sin (θ / 2) = \sqrt{ 1 – cos θ/ 2}$$
$$ Cos (θ / 2) = \sqrt{ 1 + cos θ / 2}$$
$$ Tan (θ / 2) = \sqrt {1 – cos θ /sin θ}$$
Or
$$ Tan (θ / 2) = (sin θ /1 – cos θ) $$
Half of angle may be decided by way of the usage of the above half perspective formulas. here’s an example of half perspective identities for better expertise.
Example:
Locate the half of attitude for sine, cosine, and tangent for a 60-degree attitude.
To calculate half of angle, you can use half angle calculator otherwise observe these steps:
$$ Sin (θ / 2) = \sqrt{ 1 – cos θ} / 2 $$
$$ = \sqrt {1-cos(60)} / 2 $$
$$ = \sqrt {1 – (0.5)} / 2 $$
$$ = 0.866 $$
$$ Sin (θ / 2) = 0.866 $$
$$ cos θ/2 = \sqrt{1 + cos θ} / 2 $$
$$ = \sqrt{1 + cos (60)} / 2 $$
$$ = \sqrt{1 + (-0.5)} / 2 $$
$$ = 0.5 $$
$$ cos θ/2 = 0.5 $$
$$ tan θ/2 = 1 – cos θ / sin θ $$
$$ = 1 – cos (60) / sin (60) $$
$$ = 1 – (-0.5) / (0.866) $$
$$ = 1.73205 $$
$$ tan θ/2 = 1.73205 $$
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