The document discusses trigonometric ratios of complementary angles. It begins by defining complementary angles as two angles whose sum is 90 degrees. It then states that if angle C is equal to theta, its complementary angle A will be 90 minus theta. The document proceeds to list the trigonometric ratios for both angle theta and its complementary angle 90 minus theta, showing that the ratios are equal but use opposite sides of the triangle. It concludes by summarizing the relationships between the trigonometric ratios of complementary angles.

1. GOOD MORNING
CHILDREN

2. (1) What do you mean by
complementary angles?
(1) Look at the figure ;now answer
(I) <A+<B+<C =……..180
(ii) <B = …….90
(iii) <A+<C =……..
90
(2) Are <A & <C complementary ?
Ans. yes

3. ANOUNCEMENT OF THE TOPIC:
TRIGONOMETRIC RATIOS OF
COMPLEMENTARY ANGLES

4. 1. IF <C = Ө
2. THEN <A = ?
ANS. <A = (90-Ө)Ө

5. Ө
1. sin Ө = AB / AC
2. cos Ө = BC / AC
3. Tan Ө = AB / BC
4. cosec Ө = AC / AB
5. sec Ө = AC / BC
6. Cot Ө = BC/AB
1.sin(90- Ө) = BC / AC
2.cos(90-Ө) = AB / AC
3. Tan(90- Ө) = BC / AB
4.cosec (90-Ө) = AC / BC
5. sec(90- Ө) = AC / AB
6. cot(90- Ө) = AB / BC

6.  sin Ө = cos(90-Ө)
 cos Ө = sin(90- Ө)
 Tan Ө = cot(90- Ө)
cosec Ө = sec(90- Ө)
sec Ө = cosec (90-Ө)
Cot Ө = Tan(90- Ө)
TRIGONOMETRIC RATIOS OF COMPLEMENTARY ANGLES

7. PREPARED BY:
PAMMI KISHORE
TGT (MATHS)
JNV EAST GODAVARI