The value of sin(80°) is 0.9848. To calculate it, use the formula for sin 2 theta, following these steps:
Calculate the cosine of 40° using the Pythagorean identity: cos(40°) = sqrt(1 - sin²(40°)) = sqrt(1 - 0.6428^2)) = 0.766.
2.Use the double angle formula: sin(2Θ) = 2sin(Θ)cos(Θ): sin(80°) = 2sin(40°)cos(40°) = 2 · 0.6428 · 0.766 = 0.9848.
That's it! The double angle identities are often used to find the values of the trigonometric functions of uncommon angles. Read more