Answer:
cos∅ = 3/√11
Explanation:
If tan ∅ = √(2)/3
We know the relationship:
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!