Question

If √3 tan A = 1, then find the value of
Sin²A-cos² A
​

Answer 1

Answer:

-1/2

Step-by-step explanation:

tan A = 1/√3

so A= 30 degree

now sin^2(30) = 1/4

cos^2 (30) =3/4

subtracting as given will give = -1/2

Answer 2

Answer:

Step-by-step explanation:

√3 tanA=1

then TanA=1/√3

A=30°

sin²A-cos²A=sin²A-(1-sin²A)

sin²A-1+sin²A

2sin²A-1=2sin²30°-1

2×(1/2)²-1=1/2-1

-1/2