Question
Download Solution PDFIf Sin θ =
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
Sin θ = 4/5
Formula used:
tan θ = P/B ; cot θ = B/P
By Pythagorean theorem:
⇒ H2 = P2 + B2
Where, P = perpendicular ; B = base ; H = hypotenuse
Calculation:
Sin θ = 4/5 = P/H
By Pythagorean theorem:
⇒ H2 = P2 + B2
⇒ 52 = 42 + B2
⇒ B2 = 52 - 42
⇒ B = √(25 - 16) = √9
⇒ B = 3
tan θ - Cot θ
⇒ (P/B) - (B/P)
⇒ (4/3) - (3/4) = (16 - 9)/12
⇒ 7/12
∴ The correct answer is 7/12.
Last updated on Jul 9, 2025
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