ppt on trigonometry for class 11th and 12th students.

1. Trigonometry

2. WHAT IS TRIGNOMETRY
• Trigonometry is a branch of mathematics
which deals with triangles and their
slides and the angles between these
slides.
• Word tri means three ,gon means sides
and metron means measure

3. Trigonometric Ratios
In this right angle triangle,
• the trigonometric ratios of angle
A in right angle ABC are:
• Sin A-side opp.to angle A/Hypotenus-BC/AC.
• Cos A-adjacent of angle A/hypotenus-AB/AC.
• Tan A-opp. Of angle A/adjacent-BC/AB.
• Cosec A- AC/BC(OPPOSITE OF SIN).
• Sec-AC/AB(OPPOSITE OF COS).
• COT-AB/BC(OPPOSITE OF TAN).

4. The Trigonometry Table

5. Conversion of Angles
• There are two systems of measurements of
angles i.e., degree and radian.
• Conversion of degree to radian;-)
Radian=DEGREE*(^/180)
• Conversion of radian to degree;-)
DEGREE=RADIAN*(180/^)

6. Angles in standard position

7. A-B Formula
sin(A+B)=sin A cos B + cos A sin B
sin(A-B)=sin A cos B - cos A sin B
cos(A+B)=cos A cos B - sin A sin B
cos(A-B)=cos A cos B + sin A sin B

8. SINE AND COSINE RULE-
• The sine and cosine rules relate the sides and angles in
any triangle.
• Consider a triangle ABC where a = BC, b = AC and c =
AB.
• If you are given the lengths of any two sides a and b
and the angle C between those two sides (the included
angle), then you can use the cosine rule to calculate
the length of the remaining side c: . A specific case of
this is the Pythagoras' theorem for right-angled
triangles, where C = π/2 radians or 90 degrees, then .
• If you are given the lengths of all three sides a, b and c,
then you can use the cosine rule to calculate any angle
within the triangle; for angle C this is: .

9. CONTINUE…
• If you are given any two angles A and B and the
length a side not in between these two angles -
either a or b, then you can use the sine rule to
calculate one of the missing sides: .
• If you are given the lengths of any two sides a and b,
and the angle A or B that is not in between the two
sides, then this is known as the ambiguous case as
the sine rule: will result in two possible sizes for one
of the missing angles: . In this case, determine which
one of the angles is not possible from the
information given in the question.
• The area of any triangle, given the lengths of any
two sides a and b and the included angle C, is:

10. FROM SINE/COSINE UNIT GRAPH

11. Bibliography
o Images-
http://jwilson.coe.uga.edu/emt668/EMAT668
0.2002.Fall/Wright/6690/lesson%203/lesson%
203.html
o Contents-ibid mathematics hl core 4th edition

12. .
Thank u
ppt made by-
Tarun Sharma