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# Trigonometry

Dolly K.
26 Jun 0 0

Trigonometry is a branch of mathematics that studies relationships between side lengths and angles of triangles.

To solve the questions of trigonometry first, we need to learn all the trigonometric formulas. Now, the exact methods are explained below:

1. Basic formula

Sin, cos, tan - SOH CAH TOA

Sin ø = side opposite to angle ø /hypotenuse

Cos ø = side adjacent to angle ø /hypotenuse

Tan ø = side opposite to angle ø / side adjacent to angle ø

For cot ,sec & cosec

cosec ø = 1 / sin ø

Sec ø = 1 / cos ø

Cot ø = 1 / tan ø

sin, cos, tan at 0, 30, 45, 60 degrees

 0 30 45 60 90 sin ø o 1/2 1/√2 √3/2 1 cos ø 1 √3/2 1/√2 1/2 0 tan ø o 1/√3 1 √3 not defined cosec ø not defined 2 √2 2/√3 1 sec ø 1 2/√3 √2 2 not defined cot ø not defined √3 1 1/√3 0

2. Trigonometric Identities :

sin²ø + cos²ø = 1

1+ tan²ø = sec²ø

1+ cot²ø = cosec²ø

3.  Sign of sin, cos, tan in different quadrants :

To learn the sign of sin, cos tan in different quadrants, we remember:

Add - Sugar - T- Coffee

Representing as a table

 Quadrant I Quadrant II Quadrant III Quadrant IV sin + + – – cos + – – – tan + – + –
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