Expand $$\cos\ \left(\frac{\pi}{5}+\frac{\pi}{6}\right)$$

$$\cos\frac{\pi}{5}\cos\frac{\pi}{6}-\sin\frac{\pi}{5}\sin\frac{\pi}{6}\ $$

Definition of cotangent function

The cotangent function, denoted as $$\cot x$$ , is the reciprocal of the tangent function: $$\cot x = \frac{1}{\tan x}$$ .

Cosine of a sum formula

The cosine of a sum formula states that $$\cos(a + b) = \cos a \cos b - \sin a \sin b$$ .

Sine of a sum formula

The sine of a sum formula states that $$\sin(a + b) = \sin a \cos b + \cos a \sin b$$ .

The Pythagorean identity states that for any angle $$x$$ , $$\sin^2 x + \cos^2 x = 1$$ .

Definition of tangent function

The tangent function, denoted as $$\tan x$$ , is defined as the ratio of the sine and cosine functions: $$\tan x = \frac{\sin x}{\cos x}$$ .

Definition of angle addition formulas

Angle addition formulas are used to find the sine, cosine, or tangent of the sum of two angles.

Value of $$\cos 60^{o}$$

$$\cos 60^{o} = \frac{1}{2}$$ .

Unit 13 Review - Trig Identities Flashcards

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Definition of secant function

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Definition of cosecant function

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