Question

if 3 cotA equal to 4, check whether 1 - tan squre/ 1 + tan square A equal to cos square A - sin square A or not​

Answer 1

Answer:

it is equal

Step-by-step explanation:

cotA = 4/3

tanA = 3/4

sinA = 3/5

cosA = 4/5

1 - 9/16 / 1 + 9/16 = 7/16/25/16 = 7/25

16/25 - 9/25 = 7/25

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Answer 2

Step-by-step explanation:

Given,

3cotA=4

sinA=

AC

BC

cosA=

AC

AB

tanA=

AB

BC

cotA=

BC

AB

=

3k

4k

AB=4k

BC=3k

By pythagoras Theorem we get,

AC

2

=AB

2

+BC

2

AC

2

=4

2

+3

2

AC

2

=16+9

AC

2

=25

AC

2

=

2

5

AC=5k

L.H.S

=

1+tan

2

A

1−tan

2

A

=

1+(

4

3

)

2

1−(

4

3

)

2

=

1+

16

9

1−

16

9

=

16+9

16−9

=

25

7

R.H.S

=cos

2

A−sin

2

A

=(

5

4

)

2

−(

5

3

)

2

=

25

16

−

25

9

=

25

7

Hence,

L.H.S=R.H.S proved.

solution