Small Angles Approximations Flashcards

1
Q

What do you use when finding a small angle approximation for sin?

A

sin x ≈ x

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
2
Q

What do you use when finding a small angle approximation for cos?

A

cos x ≈ 1 - x^2/2

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
2
Q

What do you use when finding a small angle approximation for tan?

A

tan x ≈ x

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
3
Q

How would you find an approximation for Cos 0.2?

A

Cos 0.2 ≈ 1 - (0.2)^2/2
≈ 0.98

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
3
Q

How would you find an approximation for Cos x + 10sin15x = 0

A

≈ 1 - x^2/2 + 10(15x) = 0

How well did you know this?
1
Not at all
2
3
4
5
Perfectly