Eduprobe
Question:
tan2θ = sin2θ + cos2θ, then θ = ?
45
60
30
90
Solution:
We know that, sin2θ + cos2θ = 1
⇒ tan2θ = sin2θ + cos2θ = 1
⇒ tanθ = 1
⇒ θ = tan⁻¹(1)
⇒ θ = 45°
Hence, the answer is 45°.
45
60
30
90
We know that, sin2θ + cos2θ = 1
⇒ tan2θ = sin2θ + cos2θ = 1
⇒ tanθ = 1
⇒ θ = tan⁻¹(1)
⇒ θ = 45°
Hence, the answer is 45°.