Question
Download Solution PDFयदि \(\sin θ = \frac{8}{{17}}\) है, तो tan θ का मान ज्ञात कीजिए।
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFदिया गया है:
\(\sin θ = \frac{8}{{17}}\)
प्रयुक्त अवधारणा:
(H)कर्ण2 = (P)लम्ब2 + (B)आधार2
गणना:
sinθ = P/H
इसलिए, H2 = P2 + B2
⇒ 172 = 82 + B2
⇒ 289 = 64 + B2
⇒ 225 = B2
⇒ 15 = B
अब,
tanθ = P/B
इसलिए, tanθ = \(\frac{8}{{15}}\)
∴ अभीष्ट उत्तर \(\frac{8}{{15}}\) है।
Shortcut Trick
sinθ = 8/17 = P/H, हम त्रिक P = 8, B = 15, H = 17 जानते हैं
अब, tanθ = P/B है तो, tanθ = 8/15
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