introduction trigo 😍🌸| class 11 maths chapter 3 | trigonometric functions |

introduction trigo 😍🌸| class 11 maths chapter 3 | trigonometric functions | ncert | cbse #maths
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Example 1: Convert 40° 20′ into radian measure.

Example 2: Convert 6 radians into degree measure.

Example 3: Find the radius of the circle in which a central
angle of 60° intercepts an arc of length 37.4 cm (use π =
22/7).

Example 4: The minute hand of a watch is 1.5 cm long. How
far does its tip move in 40 minutes? (Use π = 3.14).

Example 5 If the arcs of the same lengths in two circles
subtend angles 65°and 110° at the centre, find the ratio of
their radii.
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Trigonometry is one of the major topics in Maths subject. Trigonometry deals with the measurement of angles and sides of a triangle. Usually, trigonometry is considered for the right-angled triangle. Also, its functions are used to find out the length of the arc of a circle, which forms a section in the circle with a radius and its center point.

If we break the word trigonometry, ‘Tri’ is a Greek word which means ‘Three’, ‘Gon’ means ‘length’, and ‘metry’ means ‘measurement’. So basically, trigonometry is a study of triangles, which has angles and lengths on its side. Trigonometry basics consist of sine, cosine and tangent functions. Trigonometry for class 11 contains trigonometric functions, identities to solve complex problems more simply.

Trigonometry Formulas
Here, you will learn trigonometry formulas for class 11 and trigonometric functions of Sum and Difference of two angles and trigonometric equations.

Starting with the basics of Trigonometry formulas, for a right-angled triangle ABC perpendicular at B, having an angle θ, opposite to perpendicular (AB), we can define trigonometric ratios as;

Sin θ = P/H

Cos θ = B/H

Tan θ = P/B

Cot θ = B/P

Sec θ = H/B

Cosec θ = H/P

Where,

P = Perpendicular

B = Base

H = Hypotenuse

Trigonometry Functions
Trigonometry functions are measured in terms of radian for a circle drawn in the XY plane. Radian is nothing but the measure of an angle, just like a degree. The difference between the degree and radian is;

Degree: If rotation from the initial side to the terminal side is (1/360)th of revolution, then the angle is said to measure 1 degree.

1 degree=60minutes

1 minute=60 second

Radian: If an angle is subtended at the center by an arc of length ‘l, the angle is measured as radian. Suppose θ is the angle formed at the center, then

θ = Length of the arc/radius of the circle.

θ = l/r

Relation between Degree and Radian:
2π radian = 360°

Or

π radian = 180°

Where π = 22/7
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