if sin theta= 3/5 and if theta lies in 3rd quadrant find the value of all t-ratios
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Step-by-step explanation:
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Answered by
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Given :-
To find :-
All Trigonometric ratios in 3rd Quadrant
SOLUTION:-
In a third Quadrant
- sinθ is negative
- cosθ is negative
- tanθ is negative
- cscθ is negative
- secθ is negative
- cotθ is positive
So,
As we know that ,
So,
- opposite side = 3
- Hypotenuse = 5
From , Pythagoras theorem we can find adjacent side
(opp)² + (adj)² = (hyp)²
(3)² + (adj)² = (5)²
9 + (adj)² = 25
(adj)² = 16
adjacent = 4
So, Now All we know that
But in 3rd Quadrant ,
sinθ, cosθ , cscθ , secθ are negative
So, we get
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As tanθ and cotθ are positive in 3rd Quadrant so,
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