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Alex73 [517]
2 years ago
11

Find the value of cos⁻¹ (cos7π/6).

Mathematics
1 answer:
alisha [4.7K]2 years ago
8 0

Answer:

<u>5π/6</u>

Step-by-step explanation:

<u>Given</u> :

  • cos⁻¹ (cos7π/6)

<u>Solving</u> :

  • We know that : cos⁻¹ cosθ = θ
  • But we can't just do that in this case
  • Because the range of cos values is [0, π]
  • Clearly, our value does not lie in this range
  • We have to take a different Quadrant other than the 3rd Quadrant which gives cos a negative value
  • The 2nd Quadrant also has cos values negative
  • Therefore,
  • cos⁻¹ cos (π - π/6)
  • cos⁻¹ cos (5π/6)
  • ⇒ <u>5π/6</u> ∈ [0, π] ⇒ It lies in the range!
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