Question

Cosece+2cosec20/sece =

Answer 1

Answer:

Given expression is  

sin20  

∘

 

3

​  

 

​  

−  

cos20  

∘

 

1

​  

 

=2(  

sin20  

∘

 

3

​  

/2

​  

−  

cos20  

∘

 

1/2

​  

)

=2(  

sin20  

∘

 

sin60  

∘

 

​  

−  

cos20  

∘

 

cos60  

∘

 

​  

)

=2(  

sin20  

∘

cos20  

∘

 

sin60  

∘

cos20  

∘

−cos60  

∘

sin20  

∘

 

​  

)

=2(  

sin20  

∘

cos20  

∘

 

sin(60  

∘

−20  

∘

)

​  

)

=2  

sin20  

∘

cos20  

∘

 

sin40  

∘

 

​  

 

=2×  

sin20  

∘

cos20  

∘

 

2sin20  

∘

cos20  

∘

 

​  

 

=4

Step-by-step explanation: