Polytechnic 1st Semester Mathematics Trigonometry Notes in Hindi | D2D Pathshala

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Polytechnic Semester 1
BTER
Mathematics 1 (1004N)

Unit 1 – Trigonometry (त्रिकोणमिति)

Trigonometry:

Trigonometry is made up of two Greek words – Trigonon and Metron.

Angle:

An angle is formed by two rays having a common endpoint (vertex).

System of Measurement of Angles:

Angles can be measured in three systems:

1. Sexagesimal System (Degree System)

• Full revolution = 360°
• 1 right angle = 90°
• 1° = 60′
• 1′ = 60″
• Example: 45°30′12″

2. Centesimal System (Grades System)

• Full revolution = 400g
• 1 right angle = 100g
• 1g = 100 minutes
• 1 minute = 100 seconds

3. Circular System (Radian Measure)

• Based on arc length of a circle
• Full revolution = 2π radians
• 1 right angle = π/2 radians

Conversion:

Degrees → Radians

Angle in radians = Angle in degree × π / 180

Example: 60° = 60 × π / 180 = π / 3 rad

Radians → Degrees

Angle in degrees = Angle in radians × 180 / π

Example: 2 rad = 114.59°

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Watch Video for Complete Understanding of Unit 1 – Trigonometry

L1 – Theory : Click Here

L2 – 1 Marks Question Solutions : Click Here

L3 – Exercise 1 Solution : Click Here

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