Questions Based on Trigonometry is asked in almost all the competition exams like CAT,SSC,Banking, and many more. In this Post we will discuss this Topic from basics.**TRIGONOMETRY:**

This is a branch of maths that deals with the ratios between the sides of a right-angled triangle with reference to acute angle or any angle in triangle.Trigonometry literally means three angle measure.

Some Important Points To remember:

tanQ = Perpendicular/Base.

SinQ = Perpendicular/Hypotenuse.

CosQ = Base/Hypotenuse.

Easy Way to Remember the above is

S C T

P B P

H H B

Sona | Chindi | Tol

Pandit | Badri | Parsad

Har | Har | Bola**Theorms:**

Sin^{2}Q + Cos^{2}Q = 1

Sec^{2}Q - Tan^{2}Q = 1

Cosec^{2}Q - Cot^{2}Q = 1

where,

Sec^{2}Q = 1/Cos^{2}Q

Cot^{2}Q = 1/Tan^{2}Q

Cosec^{2}Q = 1/Sin^{2}Q

While solving important points to keep in mind,

Sin(90-Q) = CosQ,

Tan(90-Q) = CotQ,**SIGN CONVENTIONS:**

- Sign in First Quadrant i.e 0<Q=<90, will be Positive.
- Sign in Second Quadrant i.e 90<Q=<180, only SinQ and CosecQ will be Positive,
- Sign in Third Quadrant i.e 180<Q=<270, only TanQ and CotQ will be Positive,
- Sign in fourth Quadrant i.e 270<Q=<360, only CosQ and SecQ will be positive,

As shown In Figure

In this Picture To remember the above sign convention a easy and lucid way is give:

ALL SCHOOL TO COLLEGE

(all trigo function positive) (only SinQ and CosQ +) (only tanQ and CotQ +) (only CosQ and SecQ +)

Below is Table For Value of Trigonometry functions:

One more Important Point is add 360 to the angle the trigonometry function does not change.

i.e, tan(360+Q) = tanQ