Question
Download Solution PDFIf sin θ = \(\frac{3}{{ 5 }}\), then what is tan θ?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFCalculations:
According to question,
Sin θ = 3/5
Then, tan θ
= Sin θ/[√(1 - sin²θ)]
= (3/5)/[√(1 - (3/5)²)]
= (3/5)/√(16/25)
= (3/5)/(4/5)
= 3/4
Hence, The Required value is 3/4.
Shortcut Trick
Sin θ = 3/5 = P/H
As we know, P = 3, B = 4, H = 5 is Pythagorean triplet, then
⇒ tan θ = P/B = 3/4
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