If cot theta =40/9,find the value of cosec theta and sin theta?
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9,find the value of cosec theta and sin theta?
If cot theta =40/9,find the value of cosec theta and sin theta?
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Answer:
The value of cosecФ is 41/9 and sinФ = 9/41
Step-by-step explanation:
Given;
cotФ = 40/9
As we know ;
[tex]cosec^{2}[/tex]Ф= 1+[tex]cot^{2}[/tex]Ф
= 1 + [tex](40/9)^{2}[/tex]
= 1 + (1600/81)
= 1681/81
cosecФ=[tex]\sqrt{(1681/81)}[/tex]
= 41/9
Also we know that ,
sinФ = 1/cosecФ
= 1/ (41/9)= 9/41