Quarter 2 Independent Assignment #4 on Trigonometric Identities

Front

What is the solution to tan(x) + 1 = 2 on the interval [0, 2π)?

Back

π/4 and 5π/4

Front

What is the general solution of the equation sin(θ) = 1/2?

Back

θ = π/6 and 5π/6

Front

Why does the equation 2cos(x) - 3 = 0 have no solutions?

Back

cos(x) is never bigger than one.

Front

Solve 2cos²(θ) - 1 = 0 on θ ∈ [0, 2π).

Back

θ = π/4, 3π/4, 5π/4, 7π/4

Front

What is the range of the sine function?

Back

[-1, 1]

Front

What is the range of the cosine function?

Back

[-1, 1]

Front

What is the period of the sine function?

Back

2π

Front

What is the period of the cosine function?

Back

2π

Front

What is the Pythagorean identity for sine and cosine?

Back

sin²(x) + cos²(x) = 1

Front

What is the double angle formula for sine?

Back

sin(2x) = 2sin(x)cos(x)