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In ️ ABC right angled at B , if tan =A= sqrt3 , then cos A cosec - sin A sinC=​

answers: 1
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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

=0

hope it will help for you

494
Braxton  Wiley
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