Math / Trigonometry

Question21. Find the coterminal of 60

Studdy Solution

STEP 1

1. Coterminal angles share the same terminal side when drawn in standard position.
2. Coterminal angles can be found by adding or subtracting multiples of 360 degrees to the given angle.
3. We are looking for one coterminal angle of 60 degrees.

STEP 2

1. Define coterminal angles.
2. Add 360 degrees to the given angle to find a positive coterminal angle.
3. Subtract 360 degrees from the given angle to find a negative coterminal angle.

STEP 3

Define coterminal angles.
Coterminal angles are angles that differ by an integer multiple of 360 degrees. Mathematically, if $\theta$ is the given angle, then the coterminal angles can be expressed as:
$\theta + 360k$
where $k$ is any integer.

STEP 4

Find one positive coterminal angle by adding 360 degrees to 60 degrees.
$60^\circ + 360^\circ = 420^\circ$

STEP 5

Find one negative coterminal angle by subtracting 360 degrees from 60 degrees.
$60^\circ - 360^\circ = -300^\circ$
Therefore, the coterminal angles of 60 degrees include 420 degrees and -300 degrees.

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Question21. Find the coterminal of 60

Studdy Solution

STEP 1

1. Coterminal angles share the same terminal side when drawn in standard position.
2. Coterminal angles can be found by adding or subtracting multiples of 360 degrees to the given angle.
3. We are looking for one coterminal angle of 60 degrees.

STEP 2

1. Define coterminal angles.
2. Add 360 degrees to the given angle to find a positive coterminal angle.
3. Subtract 360 degrees from the given angle to find a negative coterminal angle.

STEP 3

Define coterminal angles.
Coterminal angles are angles that differ by an integer multiple of 360 degrees. Mathematically, if $\theta$ is the given angle, then the coterminal angles can be expressed as:
$\theta + 360k$
where $k$ is any integer.

STEP 4

Find one positive coterminal angle by adding 360 degrees to 60 degrees.
$60^\circ + 360^\circ = 420^\circ$

STEP 5

Find one negative coterminal angle by subtracting 360 degrees from 60 degrees.
$60^\circ - 360^\circ = -300^\circ$
Therefore, the coterminal angles of 60 degrees include 420 degrees and -300 degrees.

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Question21. Find the coterminal of 60

Studdy Solution

STEP 1

1. Coterminal angles share the same terminal side when drawn in standard position.2. Coterminal angles can be found by adding or subtracting multiples of 360 degrees to the given angle.3. We are looking for one coterminal angle of 60 degrees.

STEP 2

1. Define coterminal angles.2. Add 360 degrees to the given angle to find a positive coterminal angle.3. Subtract 360 degrees from the given angle to find a negative coterminal angle.

STEP 3

Define coterminal angles.Coterminal angles are angles that differ by an integer multiple of 360 degrees. Mathematically, if θ\thetaθ is the given angle, then the coterminal angles can be expressed as:θ+360k \theta + 360k θ+360kwhere k k k is any integer.

STEP 4

Find one positive coterminal angle by adding 360 degrees to 60 degrees.60∘+360∘=420∘ 60^\circ + 360^\circ = 420^\circ 60∘+360∘=420∘

STEP 5

Find one negative coterminal angle by subtracting 360 degrees from 60 degrees.60∘−360∘=−300∘ 60^\circ - 360^\circ = -300^\circ 60∘−360∘=−300∘Therefore, the coterminal angles of 60 degrees include 420 degrees and -300 degrees.

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Download Studdy AI Tutor now. Learn with ease and get all help you need to be successful at school.

1. Coterminal angles share the same terminal side when drawn in standard position.
2. Coterminal angles can be found by adding or subtracting multiples of 360 degrees to the given angle.
3. We are looking for one coterminal angle of 60 degrees.

1. Define coterminal angles.
2. Add 360 degrees to the given angle to find a positive coterminal angle.
3. Subtract 360 degrees from the given angle to find a negative coterminal angle.

Define coterminal angles.
Coterminal angles are angles that differ by an integer multiple of 360 degrees. Mathematically, if $\theta$ is the given angle, then the coterminal angles can be expressed as:
$\theta + 360k$
where $k$ is any integer.

Find one positive coterminal angle by adding 360 degrees to 60 degrees.
$60^\circ + 360^\circ = 420^\circ$

Find one negative coterminal angle by subtracting 360 degrees from 60 degrees.
$60^\circ - 360^\circ = -300^\circ$
Therefore, the coterminal angles of 60 degrees include 420 degrees and -300 degrees.