What are the differences between the domain of tangent and cotangent?

Tangent: Defined everywhere except where $cos(x) = 0$ | Cotangent: Defined everywhere except where $sin(x) = 0$

Flip to see [answer/question]

Revise later

SpaceTo flip

If confident

All Flashcards

What are the differences between the domain of tangent and cotangent?

Tangent: Defined everywhere except where $cos(x) = 0$ | Cotangent: Defined everywhere except where $sin(x) = 0$

What are the differences between the range of secant and tangent?

Secant: $(-infty, -1] cup [1, infty)$ | Tangent: $(-infty, infty)$

Compare the periods of sin(x) and csc(x).

sin(x): Period is $2pi$ | csc(x): Period is $2pi$

Compare the periods of cos(x) and sec(x).

cos(x): Period is $2pi$ | sec(x): Period is $2pi$

Compare the periods of tan(x) and cot(x).

tan(x): Period is $pi$ | cot(x): Period is $pi$

Define cosecant (csc x).

$csc(x) = frac{1}{sin(x)}$

Define secant (sec x).

$sec(x) = frac{1}{cos(x)}$

Define cotangent (cot x).

$cot(x) = frac{1}{ an(x)} = frac{cos(x)}{sin(x)}$

What is the formula for cosecant in terms of sine?

$csc(x) = frac{1}{sin(x)}$

What is the formula for secant in terms of cosine?

$sec(x) = frac{1}{cos(x)}$

What is the formula for cotangent in terms of tangent?

$cot(x) = frac{1}{ an(x)}$

What is the formula for cotangent in terms of sine and cosine?

$cot(x) = frac{cos(x)}{sin(x)}$

All Flashcards

What are the differences between the domain of tangent and cotangent?

Tangent: Defined everywhere except where $cos(x) = 0$ | Cotangent: Defined everywhere except where $sin(x) = 0$

What are the differences between the range of secant and tangent?

Secant: $(-infty, -1] cup [1, infty)$ | Tangent: $(-infty, infty)$

Compare the periods of sin(x) and csc(x).

sin(x): Period is $2pi$ | csc(x): Period is $2pi$

Compare the periods of cos(x) and sec(x).

cos(x): Period is $2pi$ | sec(x): Period is $2pi$

Compare the periods of tan(x) and cot(x).

tan(x): Period is $pi$ | cot(x): Period is $pi$

Define cosecant (csc x).

$csc(x) = frac{1}{sin(x)}$

Define secant (sec x).

$sec(x) = frac{1}{cos(x)}$

Define cotangent (cot x).

$cot(x) = frac{1}{ an(x)} = frac{cos(x)}{sin(x)}$

What is the formula for cosecant in terms of sine?

$csc(x) = frac{1}{sin(x)}$

What is the formula for secant in terms of cosine?

$sec(x) = frac{1}{cos(x)}$

What is the formula for cotangent in terms of tangent?

$cot(x) = frac{1}{ an(x)}$

What is the formula for cotangent in terms of sine and cosine?

$cot(x) = frac{cos(x)}{sin(x)}$