Question

If CotQ= -12/5 and ‘Q’ lies in the second quadrant, find the values of SinQ. *
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Answer 1

Answer:

sin Q=-5/13

Step-by-step explanation:

cot= adjacent/opposite

therefore, third side=13

sin Q=5/13

it lies in second quadrant=-5/13

Answer 2

$\underline{\underline{\blue{\textbf{Step - By - Step - Explanation}}}}$

To Find :

• value of sin θ

Solution :

• cot θ = -12/5

we know that,

$\boxed{\underline{\blue{\textrm{cot θ=base/perpendicular}}}}$

cot θ = Base/Perpendicular = -12/5

Base = -12

Perpendicular = 5

• By using Pythagoras theorem

Hypotenuse² = Base² + perpendicular ²

H² = (-12)² + (5)²

H² = 144 + 25

H² = 169

H = √169

H = 13

Sinθ = Perpendicular/Hypotenuse

Sinθ = 5/13

$\large\dag \large { \red{\underline{\bf{Hence }}}}$

In Second quadrant sin θ and cosec θ is positive.

• $\star{\underline{\green{\textrm{Value of sin θ is 5/13}}}}$

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