Question

If root 3 tanA = 3 sinA, then find the value of sin^2A- cos^2A​

Answer 1

Step-by-step explanation:

3 tan A = 3 sin A

sinA/ cosA = sin A [tan = sin/cos]

cos A= 1

cos A = cos 0

A = 0

sin ^2 A - cos ^2 A = - cos 2A

- cos 2(0)

- cos 0

-1 [ cos 0=1]

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Answer 2

Answer:

sin^2A-cos^2A=1/3

Step-by-step explanation:

√3tanA=3sinA

√3sinA/cosA= 3sinA

√3cosA=3

1/cosA=3/√3

cosA=√3/3

Now,

sin^2A-cos^2A

1-cos^2A-cos^2A

1-2cos^2A

Now put the value of cos^2A

1-2(√3/3) ^2

1-2*3/9

1-2*1/3

1-2/3

3-2/3=1/3