Math, asked by Charishmarahitha, 6 hours ago

If alpha and Beta are complement angles then cot & Cot B= ​

Answers

Answered by 72HurricanE
2

Answer:

The correct answer will be 1.

If alpha and Beta are complement angles then cot & Cot B= 1.

Step-by-step explanation:

See the attachment for Step by Step Explanation.

Attachments:
Answered by aslamm1
1

Answer:

Step-by-step eGiven, α and β are complementary.

∴α+β=90

⇒β=90−α

cosecαcosec(90−α)

(  

sin(90−α)

sinα

+  

cos(90−α)

cosα

)  

2

1

 

 

cosecα.secα

(  

cosα

sinα

+  

sinα

cosα

)  

−  

2

1

 

 

=  

sinα

1

⋅  

cosα

1

 

(  

sinαcosα

sin  

2

α+cos  

2

α

)  

−  

2

1

 

 

=  

sinαcosα

 

1

×  

sinαcosα

 

=1xplanation:

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