1.

If SIN θ= √3/2 then cos θ=____​

Answer»

Answer:

Medium

Answer

Given  : sinθ=  

2

3

​  

 

​  

 

Let US first draw a right △ABC,∠B=90 degrees and ∠A=θ

We know that sin θ=  

AC

BC

​  

=  

HYPOTENUSE

(PERPENDICULAR)

​  

=  

2

3

​  

 

​  

 

By pythagoras Theorem:

AC  

2

=AB  

2

+BC  

2

 

or AB  

2

=AC  

2

−BC  

2

=4k  

2

−3k  

2

=k  

2

 

AB=k

FIND other T-rations using their DEFINATION:

cos=  

AC

AB

​  

=  

2

1

​  

 

tanθ=  

AB

BC

​  

=  

1

3

​  

 

​  

 

cscθ=  

sinθ

1

​  

=  

3

​  

 

2

​  

 

secθ=  

cosθ

1

​  

=2

cotθ=  

tanθ

1

​  

=  

3

​  

 

1

Step-by-step explanation:



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