Question

If sin a =1/2 then the value of cot a ?​

Answer 1

Answer:

from above a=30

from this cot 30 is √3

Answer 2

${Solution}$

Given :-

• sinA = 1/2

To find :-

• cotA

Procedure :-

As we know that sinA = opp/hyp ; cotA = adj/opp

But we know only opposite side and Hypotenuse In right angle triangle As we know the Pythagoras theorem From this we can find adjacent side Since, we can find cotA

Pythagoras theoram :-

(opp)² +(adj)² = (hyp)²

___________________

Solution:-

As we know opposite = 1 , hypotenuse = 2 ATQ

From Pythagoras theorem

(opp)² +(adj)² = (hyp)²

(1)² + (adj)² = (2)²

1 + (adj)² = 4

(adj)² = 4-1

(adj)² = 3

adj = √3

Now finding cotA

cotA = adjacent/opposite

cotA = √3 / 1

So, the value of cotA = √3 / 1

Know more:-

Trigon metric Identities

sin²θ + cos²θ = 1

sec²θ - tan²θ = 1

csc²θ - cot²θ = 1

Trigometric relations

sinθ = 1/cscθ

cosθ = 1 /secθ

tanθ = 1/cotθ

tanθ = sinθ/cosθ

cotθ = cosθ/sinθ

Trigonmetric ratios

sinθ = opp/hyp

cosθ = adj/hyp

tanθ = opp/adj

cotθ = adj/opp

cscθ = hyp/opp

secθ = hyp/adj