trigonosmetry quadrant iquadrant ii quadrant iiiquadrant iv x-axis y-axis
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TRIGONOS METRY
Quadrant IQuadrant IIQuadrant III Quadrant IV
X-AXIS
Y-AXIS
Since the circumferenceof a circle is _______ ,one complete rotationwould have arc lengthof _______.
r
r
r
srad
2
r
r
r
srad
2
Positive Angle
Negative Angle Counterclockwise rotation.
Clockwise rotation.
Trigonometric Functions
& the relation between them
sin
cos
tan
opposite side
hypotenuse
adjacent side
hypotenuse
opposite side
adjacent side
1cot
tan
1sec
cos
1sec
sinco
sin , cosec + + - -cos , sec + - - +tan , cot + - + -
sin cos2
cos sin2
Remember sin( ) sin
The rest of the steps will be the same as followed previously all we have to take care is in which quadrant the resultant function lies in.
1sin( )
2area of LKM qr A B
1sin
2area of MKN pq B
1sin
2area of LKN pr A
area of LKM area of MKN
area of LKN
1 1
sin( ) sin2 2
1sin
2
qr A B pq B
pr A
sin( ) sin sinp p
A B A Bq r
sin( )
sin cos cos sin
A B
A B A B
sin( ) sin sinp p
A B A Bq r
sin[ ( )] sin cos( ) cos sin( )A B A B A B
sin( ) sin cos cos sinA B A B A B
sin sin cos cos sin2 2 2
A B A B A B
cos( ) cos cos sin sinA B A B A B
SOLUTION:
SOLUTION:
If in a ABC, cos3A + cos3B + cos3C = 3cosA cosB cosC, Prove that the triangle is equilateral.
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