1.

In right angled sporof LQ = 901reandcos o = 331find sin o ten o, sinoand cos ²​

Answer»

ANSWER:

In △ABC,

∠B=90  

o

, tanA=  

3

​  

 

1

​  

=  

AB

BC

​  

 

Let BC =1x,AB=  

3

​  

X

AC  

2

=AB  

2

+BC  

2

 

AC  

2

=(  

3

​  

x)  

2

+(x)  

2

=4x  

2

 

AC=2x

(i) sinAcosC+cosAsinC=  

2

1

​  

×  

2

1

​  

+  

2

3

​  

 

​  

×  

2

3

​  

 

​  

=  

4

1

​  

+  

4

3

​  

=1

(II) cosAcosC−sinAsinC=  

2

3

​  

 

​  

×  

2

1

​  

−  

2

1

​  

×  

2

3

​  

 

​  

=  

4

3

​  

 

​  

−  

4

3

​  

 

​  

=0In △ABC,

∠B=90  

o

, tanA=  

3

​  

 

1

​  

=  

AB

BC

​  

 

Let BC =1x,AB=  

3

​  

x

AC  

2

=AB  

2

+BC  

2

 

AC  

2

=(  

3

​  

x)  

2

+(x)  

2

=4x  

2

 

AC=2x

(i) sinAcosC+cosAsinC=  

2

1

​  

×  

2

1

​  

+  

2

3

​  

 

​  

×  

2

3

​  

 

​  

=  

4

1

​  

+  

4

3

​  

=1

(ii) cosAcosC−sinAsinC=  

2

3

​  

 

​  

×  

2

1

​  

−  

2

1

​  

×  

2

3

​  

 

​  

=  

4

3

​  

 

​  

−  

4

3

​  

 

​  

=0In △ABC,

∠B=90  

o

, tanA=  

3

​  

 

1

​  

=  

AB

BC

​  

 

Let BC =1x,AB=  

3

​  

x

AC  

2

=AB  

2

+BC  

2

 

AC  

2

=(  

3

​  

x)  

2

+(x)  

2

=4x  

2

 

AC=2x

(i) sinAcosC+cosAsinC=  

2

1

​  

×  

2

1

​  

+  

2

3

​  

 

​  

×  

2

3

​  

 

​  

=  

4

1

​  

+  

4

3

​  

=1

(ii) cosAcosC−sinAsinC=  

2

3

​  

 

​  

×  

2

1

​  

−  

2

1

​  

×  

2

3

​  

 

​  

=  

4

3

​  

 

​  

−  

4

3

​  

 

​  

=0

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Step-by-step explanation:



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