Question

(b) If sin43 ° = a, find the value of tan 47°
give only answers pls ​

Answer 1

Answer:

√(1 - a²) / a²

Step-by-step explanation:

sin(90° - β) = cos β

sin²β + cos²β = 1

tanβ = sinβ ÷ cosβ

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sin43° = a

tan47° = ?

sin43° = sin(90° - 47°) = cos47° = a

sin²47° + cos²47° = 1 ==> sin47° = √(1 - cos²47°) = √(1 - a²)

tan47° = √(1 - a²) / a²