Question

cot theta + cosec theta =5 then find cos theta = ??

Answer 1

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Here is your solution:-
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Given,
$\cot \theta + \csc \theta = 5 \\ = > \frac{ \cos \theta}{sin \: \theta} + \frac{1}{sin \: \theta} = 5 \\ = > \frac{cos \theta + 1}{ \sin \theta } = 5 \\ = > \cos \theta = 5 \sin \theta - 1$
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Answer 2

Answer:

12/13

Step-by-step explanation:

∅=theta

Cot∅+Cos ec∅=3/2.............(i)

Multiply both sides by Cos ec∅-Cot∅

Then,

Cos ec²∅-Cot²∅=3/2(Cos ec∅-Cot∅)

Since

Cos ec²∅-Cot²∅=1

Hence,

Cos ec∅-Cot∅=2/3.............(ii)

Add (i)+(ii)

2 Cos  ec∅=3/2+2/3= 13/6

Cos ec∅=13/12

Sin∅=12/13

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