Topics are arranged as per SYLLABI published by Maharashtra State Board of Secondary and Higher Secondary Education.
Trigonometry is measurement triangles.
Measurement of sides, angles and various relations exists between them.
In broad categories there are two types of Trigonometric Functions:
Trigonometric Equation | General Solution | Key Points |
---|---|---|
General solution is same as that of |
||
Polar coordinates: Polar and Cartesian co-ordinates of a point are related.
Where and
for
In polar coordinate system; we’ve fixed point called as pole. It’s equivalent to origin in Cartesian co-ordinate system.
Sides of a triangle are proportional to the sines of the opposite angles.
In the triangle ABC:
In the triangle ABC
In the triangle ABC
Let’s apply Sine Rule, Cosine Rule and Projection Rule to derive Half angle formula. In triangle ABC [Note: 2s = a + b + c ]
If a, b, c are the lengths of the sides BC, CA and AB of a triangle ABC such that 2s = a + b + c then the area of the triangle ABC =
In triangle ABC
Function |
Domain of existence | Range of |
Inverse of Function |
Principal Value of the range | Quadrant |
---|---|---|---|---|---|
y = sinx | [-1,1] | Fourth, First | |||
y = cosx | [-1,1] | First, Second | |||
In Progress