7. If sin a = 1/√2
then find the value of tan a..
va​

1 thought on “<br />7. If sin a = 1/√2<br />then find the value of tan a..<br />va​”

1. Required Answer:-

   Given:

   • sin α = 1/√2.

   To Find:

   • tan α.

   Solution:

   Given that,

   → sin α = 1/√2

   So,

   → sin²α = (1/√2)²

   → sin²α = 1/2

   We know that,

   → sin²α + cos²α = 1

   So,

   → 1/2 + cos²α = 1

   → cos²α = 1 – 1/2

   → cos²α = (2 – 1)/2

   → cos²α = 1/2

   → cos α = 1/√2

   So, the value of tan α will be,

   = sin α/cos α

   = 1/√2 ÷ 1/√2

   = 1/√2 × √2

   = 1

   Therefore,

   → tan α = 1

   Answer:

   • tan α = 1

   Formula Used:

   • sin²α + cos²α = 1
   • tan α = sin α/cos α

   •••♪

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