Theta in Trigonometry

Questions and Answers

An angle in trigonometry (correct)

A trigonometric function

A side of a triangle

The radius of a circle

sin(θ) = hypotenuse / opposite side

sin(θ) = adjacent side / hypotenuse

sin(θ) = opposite side / adjacent side

sin(θ) = opposite side / hypotenuse (correct)

sin^2(θ) + cos^2(θ) = 0

sin^2(θ) - cos^2(θ) = 1

tan^2(θ) + 1 = sec^2(θ)

sin^2(θ) + cos^2(θ) = 1 (correct)

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Study Notes

Theta (θ) is a Greek letter used to represent an angle in trigonometry
It is often used as the variable in trigonometric functions such as sine, cosine, and tangent

The unit circle is a circle with a radius of 1 unit
Theta is used to measure the angle of rotation from the positive x-axis to a point on the unit circle
The unit circle is used to define the trigonometric functions sine, cosine, and tangent

Pythagorean Identity: sin^2(θ) + cos^2(θ) = 1
Sum and Difference Formulas:
- sin(a + b) = sin(a)cos(b) + cos(a)sin(b)
- cos(a + b) = cos(a)cos(b) - sin(a)sin(b)
- tan(a + b) = (tan(a) + tan(b)) / (1 - tan(a)tan(b))

Theta (θ) is a Greek letter representing an angle in trigonometry
It's used as a variable in trigonometric functions like sine, cosine, and tangent

The unit circle has a radius of 1 unit
Theta measures the angle of rotation from the positive x-axis to a point on the unit circle
The unit circle is used to define sine, cosine, and tangent functions

Pythagorean Identity: sin^2(θ) + cos^2(θ) = 1
Sum and Difference Formulas:
- sin(a + b) = sin(a)cos(b) + cos(a)sin(b)
- cos(a + b) = cos(a)cos(b) - sin(a)sin(b)
- tan(a + b) = (tan(a) + tan(b)) / (1 - tan(a)tan(b))