Question

All important trigonometry identities or ratios formula for class 10 fast

Answer 1

1. sin^2x + cos^2x =1
2.sec^2x + tan^2x =1
3. cosec^2x + cot^2x =1
4. sinx= 1/cosecx
5. tanx= 1/cotx
6. secx= 1/cosx

Answer 2

Ahoy ! 

Trigonometry :

SinФ= perpendicular / Hypotenuse 

CosФ = Base /  Hypotenuse 


TanФ= Perpendicular / Base 

CosecФ= Hypotenuse / Perpendicular 

SecФ= Hypotenuse / Base 

CotФ = Base / Perpendicular 


Signs of T ratios 


1 Quadrant = all T ratio are positive 

2 Quadrant = Sin Ф positive but cosФ and TanФ are negative 

3 Quadrant = TanФ positive  SinФ and CosФ are negative 

4 Quadrant = CosФ positive SinФ and TanФ are negative .


Fundamental T relations 

# TanФ = SinФ / CosФ

# SecФ = 1/ CosФ

# cot Ф= 1/ tanФ

# cosec Ф= 1/ SinФ

# Sin²Ф + Cos²Ф = 1 

# Sec²Ф - Tan²Ф = 1

# Cosec²Ф - Cot²Ф = 1


# sin( - Ф  ) = - sinФ

#Cos( - Ф ) = cosФ

# cosec(- Ф ) = - cosecФ

# sec(- Ф ) = secФ

# Tan(- Ф )= -TanФ

# cot(- Ф )= -cotФ

angle Ф = 0° 
sin Ф = 0 
cos Ф= 1  
Tan Ф = 0 


Ф= 30°
sin Ф = 1/2
cos Ф= √3/2 
Tan Ф = 1/ √3

Ф= 45°

sin Ф = 1/√2
cos Ф= 1/√2
Tan Ф = 1

Ф=60°

sin Ф = √3/2
cos Ф= 1/2  
Tan Ф = √3

Ф=90°

sin Ф = 1
cos Ф=  0
Tan Ф = ∞

May it helps you ^ _ ^