What is the value of cos θ = π2 + πk?

Applying our solutions, cosθ = cos( π 2) gives θ = ± π 2 + 2πk. That’s really two lists, that can be combined giving θ = π 2 + πk. The same set of values is produced for different k s. which is essentially what we got.

How to solve (cos x + cos 3x) using trig identity?

Use trig identity to transform (cos x + cos 3x): F (x) = 2cos 2x.cos x + cos 2x = cos 2x (2cos x + 1 ) = 0. Next, solve the 2 basic trig equations. 2. Transform a trig equation F (x) that has many trig functions as variable, into a equation that has only one variable.

What is sine cosine at 315 degrees?

Take a look at this picture: Sine cosine refers to and only to the x values, look for the points where √2 2 is an x value. We find that this holds true at 45 degrees (or π 4 radians) and at 315 degrees (or 7π 4 radians).

How many values for each sine and cosine function are there?

Sorry for the long answer, please read the explanation. Assuming that you know the basics of the unit circle, if not memorized, you would know that there are two values for each sine, cosine, or tangent function, given that they are not the axis points.

How do you simplify 2 cos( θ)?

Divide each term by 2 2 and simplify. Tap for more steps… Divide each term in 2 cos ( θ) = − 1 2 cos ( θ) = – 1 by 2 2. Cancel the common factor of 2 2. Tap for more steps…

How to find the value of θ θ from 2 cos( θ)?

Divide each term in 2 cos ( θ) = − 1 2 cos ( θ) = – 1 by 2 2. Cancel the common factor of 2 2. Tap for more steps… Cancel the common factor. Divide cos ( θ) cos ( θ) by 1 1. Move the negative in front of the fraction. Take the inverse cosine of both sides of the equation to extract θ θ from inside the cosine.

How to simplify 2 π – π- π 2 2?

Simplify 2 π − π 2 2 π – π 2. Tap for more steps… To write 2 π 1 2 π 1 as a fraction with a common denominator, multiply by 2 2 2 2. Write each expression with a common denominator of 2 2, by multiplying each by an appropriate factor of 1 1.