1
csc(x)=
1/sin(x)
tan(x)=
1/cot(x)
+\- the square root of 1-sin^2(x)
cos(x)
Perpendicular/Base
tangent
sin,cos,tan,csc,sec,cot all represent?
right triangle ratios
sec(x)=
1/cos(x)
cos^2(x) +sin^2(x)=
1
1+tan^2(x)=
sec^2(x)
hypotenuse/perpendicular
cosec A
What is a real life example of trigonometry?
measuring buildings or trees
length of ladder or distance of ladder from pole etc.
angle of elevation of object
cot(x)=
1/tan(x)
1-cos^2(x)=
sin^2(x)
what is trigonometry?
the branch of mathematics concerned with specific functions of angles related to sides of the triangle and their application to calculations
hypotenuse/base
sec A
To measure length of the ladder kept diagonally to the wall, what would be the parameter that you need to know?
angle of ladder with base AND either the height till which it reaches or its distance from the wall.
Alternately, if Pythagoras rule to be applied, then height and distance both.
sin(x)=
1/csc(x)
1-sin^(x)=
cos^2(x)
perpendicular/hypotenuse
sine
base/perpendicular
cot A
If tan A = 1, what type of triangle would it be and why ?
If tan A = 1, then it would be an isosceles right triangle. It is because angle A will be 45 degree which means ratio of perpendicular to base is 1 hence they are equal in measure
cos(x)=
1/sec(x)
+\- the square root of 1-cos^2(x)
sin(x)
(base/hypotenuse) x sec A
1
Square root of (Square of Hypotenuse - square of base) = ?
perpendicular
If it is an isosceles right triangle , the value of which two trigonometric ratios be same ?
sin and cos OR cosec and sec