Question

Find the value of X, if cosec 2X = sec (X – 21°), Where 2X is an acute angle.​

Answer 1

Answer:

Solution

Correct option is C)

Usiong sec

2

θ−tan

2

θ=1

⇒(2x)

2

−(

x

2

​

)

2

=1, substitute the given values in terms of x

⇒4x

2

−

x

2

4

​

=1

⇒4(x

2

−

x

2

1

​

)=1

⇒x

2

−

x

2

1

​

=

4

1

​

Step-by-step explanation:

Answer 2

Answer:

cosec  

2

x+sec  

2

x=  

sin  

2

x

1

​

+  

cos  

2

x

1

​

=  

sin  

2

x+cos  

2

x

sin  

2

x+cos  

2

x

​

 

=cosec  

2

xsec  

2

x

∙ sec  

2

x+tan  

2

x=  

cos  

2

x

1+sin  

2

x

​

 



=  

cos  

4

x

sin  

2

x

​

 

∙ cosec  

2

x+tan  

2

x=cot  

2

x+sec  

2

x

⇒cosec  

2

x−cot  

2

x=sec  

2

x−tan  

2

x=1

Step-by-step explanation: