If √3 tan Φ = 3 sin Φ, then find the value of sin²Φ - cos²Φ. [CBSE 2012]
Answers
Answered by
0
Answer:
0.5
Step-by-step explanation:
3
tanθ=1
⇒tanθ=
3
1
⇒θ=60°
∴sin
2
θ−cos
2
θ=sin
2
θ−cos
2
θ
=(
2
3
)
2
−(
2
1
)
2
=
4
3
−
4
1
=
2
1
Hence, the answer is 0.5.
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