Question

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