Question

If root 3 Tan A = 3 Sin A , find the
Value of sin square A - cos square A​

Answer 1

Answer:

1/3

Step-by-step explanation:

√3tanA=3sinA

√3sinA/cosA=3sinA

cosA=1/√3

Apply identity sin^2A+cos^2A=1:-

sinA=1-(1/√3)^2

sinA=√2/√3

Put in sin^2A-cos^2A=(√2/√3)^2-(1/√3) ^2

=2-1/3

=1/3