Question

If tanA=3/4,then sinA cosA=_​

Answer 1

I am in class 9, how the hell should I know

Answer 2

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MATHS

Prove that if tanA=

4

3

, then sinAcosA=

25

12

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ANSWER

As sec

2

A−tan

2

A=1⇒secA=±

tan

2

A+1

=±

16

9

+1

=±

16

25

=±

4

5

⇒cosA=

secA

1

=±

5

4

And sin

2

A+cos

2

A=1

⇒sinA=±

1−cos

2

A

=±

1−

25

16

=±

25

9

=±

5

3

⇒sinAcosA=

25

12