How to Put Angle in Scientific Calculator

Angle Mode Selection:

\[ \text{Angle Mode} = \begin{cases} \text{DEG} & \text{Degrees Mode} \\ \text{RAD} & \text{Radians Mode} \end{cases} \]

Angle Value:

° or rad

Current Angle Mode:

Target Angle Mode:

Angle Conversion Result:

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1. What is Angle Mode in Scientific Calculator?

Angle mode determines how trigonometric functions (sine, cosine, tangent) interpret angle inputs. Scientific calculators support two main angle modes: degrees (DEG) and radians (RAD), with some also supporting gradians.

2. How to Set Angle Mode

Most scientific calculators have a dedicated angle mode button or menu:

\[ \text{Mode Button} \rightarrow \text{Angle} \rightarrow \begin{cases} \text{DEG} \\ \text{RAD} \end{cases} \]

Common methods:

Mode Button: Press MODE, then select DEG or RAD
Shift + Mode: Some calculators use this combination
Dedicated Keys: DRG button cycles through degrees, radians, gradians
On-screen Menu: Graphical calculators use menu selection

Tip: Always check the calculator display for current angle mode indicator (usually shows DEG or RAD).

3. Degrees vs Radians

Degrees (DEG): Circle divided into 360 equal parts. Common in everyday use and basic trigonometry.

Radians (RAD): Angle subtended by arc length equal to radius. Standard in higher mathematics and calculus.

Conversion Formula: \[ 180^\circ = \pi \text{ radians} \] \[ 1^\circ = \frac{\pi}{180} \text{ radians} \] \[ 1 \text{ radian} = \frac{180}{\pi} \approx 57.2958^\circ \]

4. Practical Examples

Example 1: sin(30°) in DEG mode = 0.5
Example 2: sin(π/6) in RAD mode = 0.5
Example 3: cos(45°) = 0.7071 (DEG mode)
Example 4: cos(π/4) = 0.7071 (RAD mode)

5. Frequently Asked Questions (FAQ)

Q1: Which angle mode should I use?
A: Use DEG for basic math and everyday calculations. Use RAD for calculus, physics, and advanced mathematics.

Q2: How do I know my current angle mode?
A: Check the calculator display for DEG or RAD indicator, usually in the top or bottom area of the screen.

Q3: What happens if I use wrong angle mode?
A: Trigonometric functions will give incorrect results. sin(30) in RAD mode gives 0.988 (wrong) instead of 0.5.

Q4: Are there other angle units?
A: Some calculators support gradians (400 in a circle) but DEG and RAD are most common.

Q5: How to convert between degrees and radians manually?
A: Degrees to radians: multiply by π/180. Radians to degrees: multiply by 180/π.