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THE WORD 'TRIGONOMETRY' IS DERIVED FROM THE GREEK WORDS
'TRI' (MEANING THREE), 'GON' (MEANING SIDES) AND 'METRON'
(MEANING MEASURE).
IN FACT, TRIGONOMETRY IS THE STUDY OF THE RELATIONSHIP BETWEEN
THE SIDES AND ANGLES OF A TRIANGLE.
‘TRI’ – THREE
‘GON’ – SIDES
‘METRON’ – MEASURE
 The hypotenuse of a right triangle is
always the side opposite the right
angle. It is the longest side in a right
triangle.
 The adjacent leg is the other side that
is adjacent to angle θ (theta).
It is also sometimes called as base.
 The opposite side is the side that is
opposite to angle θ (theta). It is also
sometimes called perpendicular
The sides are always defined with respect to acute angle ‘A’ or angle
‘C’.
In PQC, ABC and MNC:
In relation with angle C,
PQ/PC = AB/AC = MN/MC = Opposite of angle C/ Hypotenuse
In PQC, ABC and MNC;
In relation with angle C;
QC/PC = BC/AC = NC/MC = Adjacent side to angle C/ Hypotenuse
= Cosine of angle C = cos C
In PQC, ABC and MNC;
PQ/QC = AB/BC = MN/NC = Opposite side to angle C/ Adjacent side
of angle C
= Tangent of angle C = Tan C
COSEC = 1 / SIN
SEC = 1 / COS
COT = 1 / TAN
 The cosecant or cosec(A), is the reciprocal of sin(A); i.e. the
ratio of the length of the hypotenuse to the length of the
opposite side.

 The cotangent cot(A) is the reciprocal of tan(A); i.e. the ratio
of the length of the adjacent side to the length of the
opposite side.
TRIGNOMETRY 1 (1).pdf

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TRIGNOMETRY 1 (1).pdf

  • 1. THE WORD 'TRIGONOMETRY' IS DERIVED FROM THE GREEK WORDS 'TRI' (MEANING THREE), 'GON' (MEANING SIDES) AND 'METRON' (MEANING MEASURE). IN FACT, TRIGONOMETRY IS THE STUDY OF THE RELATIONSHIP BETWEEN THE SIDES AND ANGLES OF A TRIANGLE. ‘TRI’ – THREE ‘GON’ – SIDES ‘METRON’ – MEASURE
  • 2.  The hypotenuse of a right triangle is always the side opposite the right angle. It is the longest side in a right triangle.  The adjacent leg is the other side that is adjacent to angle θ (theta). It is also sometimes called as base.  The opposite side is the side that is opposite to angle θ (theta). It is also sometimes called perpendicular
  • 3. The sides are always defined with respect to acute angle ‘A’ or angle ‘C’.
  • 4. In PQC, ABC and MNC: In relation with angle C, PQ/PC = AB/AC = MN/MC = Opposite of angle C/ Hypotenuse
  • 5. In PQC, ABC and MNC; In relation with angle C; QC/PC = BC/AC = NC/MC = Adjacent side to angle C/ Hypotenuse = Cosine of angle C = cos C
  • 6. In PQC, ABC and MNC; PQ/QC = AB/BC = MN/NC = Opposite side to angle C/ Adjacent side of angle C = Tangent of angle C = Tan C
  • 7. COSEC = 1 / SIN SEC = 1 / COS COT = 1 / TAN
  • 8.  The cosecant or cosec(A), is the reciprocal of sin(A); i.e. the ratio of the length of the hypotenuse to the length of the opposite side.
  • 9.
  • 10.  The cotangent cot(A) is the reciprocal of tan(A); i.e. the ratio of the length of the adjacent side to the length of the opposite side.