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If tan theta =(√2)/3, what is the value of cos theta?​

User Nover
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2 Answers

1 vote

Answer:

cos∅ = 3/√11

Explanation:

If tan ∅ = √(2)/3

We know the relationship:

  • 1 + tan²∅ = sec²∅

As given, putting the value to this equation we get:

  • 1 + (√(2)/3)² = sec²∅
  • 1 + 2/9 = sec²∅
  • 11/9 = sec²∅
  • sec∅ = √(11)/3(Taking square root on both sides)

We know that sec∅ = 1/cos∅

Hence cos ∅ = 1/ sec∅

Putting the value of sec∅, we get:

  • cos∅ = 1/(√11)/3
  • cos∅ = 3/√11

This is an interesting method by using square relationship!

User Bmueller
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8.4k points
2 votes

Answer: cos∅ = (3√11)/11

Explanation:

See image

If tan theta =(√2)/3, what is the value of cos theta?​-example-1
User Rodrigo Curbelo
by
8.8k points

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