Trig Equations Flashcards by Saleh Taha

Q

What is the cosine rule for angles

A

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Q

What is the cosine rule for sides

A

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Q

What is the equation used to calculate the section of the circumference from a sector of a circle (L)

A

L = rθ
r = radius
θ = angle in radians

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Q

What is secx equal to

A

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Q

What is cosecx equal to

A

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Q

What is cotx equal to

A

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Q

Sketch the graph of secx

A

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Q

State the domain and range of secx

A

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Q

Sketch the graph of cotx

A

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Q

State the domain and range of cotx

A

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Q

Sketch the graph of cosecx

A

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Q

State the domain and range of cosecx

A

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Q

State the identity of sin2x + cos2x

A

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Q

State the identity including cosec2x and cot2x

A

Divide sin²x + cos²x = 1 by sin²x

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Q

State the identity including sec2x and tan2x

A

Divide sin²x + cos²x = 1 by cos²x

NOT THE COT EQUATION ABOVE IT

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Q

What is the double angle formula for sin2A

A

Sin2A = 2sinAcosA

Q

What are the three double angle formulas for cos2A

A

cos2A =

Q

What is the double angle formula for tan2A

A

Q

What is 180 degrees in radians

A

ℼ

Q

What is 1 degree in radians

A

ℼ/180

Q

What is the equation used to calculate the area of a sector

A

Q

What is the equation used to calculate the area of a segment of a sector of a circle

A

Q

When we know the value of x, how do we find the more valued for Sinx (in degrees & radians)

A

Q

When we know the value of x, how do we find the more valued for cosx (in degrees & radians)

A

When we know the value of x, how do we find the more values for tanx (in degrees & radians)

What is the condition for small angle approximations to work

We must be in radians not degrees

What is the small angle approximation for sinx

What is the small angle approximation for tanx

What is the small angle approximation for cosx

Convert cos(50) to sin Draw the triangle explaining this

Convert sin(50) to cos Draw the triangle explaining this

How do we convert sin into cos or cos into sin

SinA=CosB, where A+B = 90 degrees (𝝅/2)

What is the equation for calculating the area of a MAJOR sector of a circle

Area of circle - area of minor sector

Do we square 4theta or only theta in the cos approximation

Only theta

What is the formula for the area of a rhombus

What is the formula for the area of a parallelogram

Sketch the cast diagram