Using the identity sin? O + cos? O = 1, find the value of tan O, to the nearest
1 answer:
Answer:
<u>3.7 </u>
Step-by-step explanation:
<u>Given</u>
sin²θ + cos²θ = 1 sinθ = 0.27
<u>Solving for cos</u>θ
cos²θ = 1 - sin²θ cos²θ = 1 - (0.27)² cos²θ = 0.0729
<u>Finding tan</u>θ
tanθ = sinθ / cosθ tanθ = 0.27 / 0.0729 tanθ = <u>3.7 </u>
<u>Verifying it lies in the range</u>
θ = tan⁻¹ (3.7) θ = 74.88° Range is : 0 < θ < π/2 [or 0 < θ < 90° ] It lies in the range [Verified ]
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