write the trigonometric half angle formulas
Question
write the trigonometric half angle formulas
Solution
The trigonometric half angle formulas are:
-
Sine Half-Angle Formula: sin(x/2) = ± sqrt[(1 - cos(x))/2]
-
Cosine Half-Angle Formula: cos(x/2) = ± sqrt[(1 + cos(x))/2]
-
Tangent Half-Angle Formula: tan(x/2) = ± sqrt[(1 - cos(x))/(1 + cos(x))] or tan(x/2) = sin(x)/(1 + cos(x))
The sign (±) depends on the quadrant in which the half angle lies.
Similar Questions
Write in terms of of the following double angled trigonometric expression:
Which of the following is equal to expression 2(sin 30°) – tan 45°?
Use the cofunction identities to evaluate the expression without the aid of a calculator.sin2 53° + sin2 37°
(sinθ−secθ) 2 +(cosθ−cosecθ) 2
Evaluate the following: 2 tan2 45° + cos2 30° – sin2 60°
Upgrade your grade with Knowee
Get personalized homework help. Review tough concepts in more detail, or go deeper into your topic by exploring other relevant questions.