Math, asked by ka317998, 10 months ago

cosec alpha =sec bita then alpha +bita​

Answers

Answered by thecreator25
2

secβ

coseca

​  

=p  and  

secβ

cota

​  

=q

prove that

((p  

2

−q  

2

)cot  

2

a=q  

2

)

December 27, 2019avatar

Paluck Chaurasiya

ANSWER

secβ

cscα

​  

=p  

secβ

cotα

​  

=q

p  

2

=  

sec  

2

β

csc  

2

α

​  

q  

2

=  

sec  

2

β

cot  

2

α

​  

 

(p  

2

−q  

2

)cot  

2

α=(  

sec  

2

β

csc  

2

α−cot  

2

α

​  

)cot  

2

α

=  

sec  

2

β

cot  

2

α

​  

=q  

2

 

∴  Hence, provedsecβ

coseca

​  

=p  and  

secβ

cota

​  

=q

prove that

((p  

2

−q  

2

)cot  

2

a=q  

2

)

December 27, 2019avatar

Paluck Chaurasiya

ANSWER

secβ

cscα

​  

=p  

secβ

cotα

​  

=q

p  

2

=  

sec  

2

β

csc  

2

α

​  

q  

2

=  

sec  

2

β

cot  

2

α

​  

 

(p  

2

−q  

2

)cot  

2

α=(  

sec  

2

β

csc  

2

α−cot  

2

α

​  

)cot  

2

α

=  

sec  

2

β

cot  

2

α

​  

=q  

2

 

∴  Hence, proved

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