Pre-Calculus - Learn How To Evaluate the Double Angle of Sine

The video tutorial explains the sine of a double angle formula, which is 2 times sine of Theta times cosine Theta. It guides through finding sine and cosine values, understanding quadrants, and using the Pythagorean theorem to solve for the sides of a triangle. The tutorial concludes with calculating the sine of two Theta, emphasizing the importance of understanding trigonometric identities and their applications.

What is the formula for the sine of a double angle?

• 2 * sin(Theta) * cos(Theta)

• sin(Theta) + cos(Theta)

• sin^2(Theta) - cos^2(Theta)

• 2 * cos(Theta) * sin(Theta)

In which quadrants is the tangent of Theta negative?

• Second and Fourth

• First and Third

• Second and Third

• First and Second

What is the hypotenuse in the triangle with sides -5 and 9?

• 81

• sqrt(56)

• 5

• 9

How do you calculate the opposite side using the Pythagorean theorem in this context?

• X^2 = 5^2 + 9^2

• X^2 + 9^2 = 5^2

• X^2 + 5^2 = 9^2

• X^2 - 5^2 = 9^2

What is the final expression for sine of two Theta in this problem?

• 5 * sqrt(56) / 81

• -5 * sqrt(56) / 81

• 10 * sqrt(56) / 81

• -10 * sqrt(56) / 81