Questions and Answers on Finding the values with sign of the other five Trigonometric Functions from the given value of a Trigonometric function with their representation in a right angled triangle

1. Physics Helpline
L K Satapathy
TRIGONOMETRY 2

2. Physics Helpline
L K Satapathy
121. sin cot 0
13
x and x  
Question : Find the exact values of the other five trigonometric functions when
82. tan sec 0
15
y and y 
53. cos sin 0
13
z and z 
TRIGONOMETRY 2

3. Physics Helpline
L K Satapathy
: sin 0 cot 0 cos sin .cot 0Analysis x and x x x x    
121. sin cot 0
13
x and x  
cosec 0 tan 0 sec 0x x x   
2 144 25 5cos 1 sin 1
169 169 13
x x         
cos 55 12cot
13 13sin 12
xx
x
     1 12tan
cot 5
x
x
 
1 13sec
cos 5
x
x
  
1 13cosec
sin 12
x
x
  
12
13
5
x
TRIGONOMETRY 2

4. Physics Helpline
L K Satapathy
: tan 0 cot 0 sec 0 cos 0Analysis y y and y y     
82. tan sec 0
15
y and y 
sin tan .cos 0 cosec 0y y y y    
2 64 289 17sec 1 tan 1
225 225 15
y y         
2 225 64 8sin 1 cos 1
289 289 17
y y         
1 15cos
sec 17
y
y
  
1 17cosec
sin 8
y
y
  
1 15cot
tan 8
y
y
  8
17
15
y
TRIGONOMETRY 2

5. Physics Helpline
L K Satapathy
: cos 0 sin 0 tan 0Analysis z z z   
53. cos sin 0
13
z and z 
ALL ve 
2 25 144 12sin 1 cos 1
169 169 13
z z        
1 13cosec
sin 12
z
z
 
sin 1212 5tan
13 13cos 5
zz
z
   1 5cot
tan 12
z
z
 
1 13sec
cos 5
z
z
 
5
1213
z
TRIGONOMETRY 2

6. Physics Helpline
L K Satapathy
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