Question
Download Solution PDF\(\frac{tan 40° sec 50°}{cot 50° cosec 40°} + sin 50° cos 40° + cos^2 50° + tan 30° \) ഇതിന്റെ മൂല്യം കണ്ടെത്തുക
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFനൽകിയിരിക്കുന്നത്
\(\frac{tan 40° sec 50°}{cot 50° cosec 40°} + sin 50° cos 40° + cos^2 50° + tan 30° \)
ഉപയോഗിച്ച സൂത്രവാക്യം
sin (90° - θ) = cos θ
sin2 A + cos2 A = 1
cot(90° - θ) = tan θ
cosec(90 - θ) = sec θ
കണക്കുകൂട്ടൽ
\(\frac{tan 40° sec 50°}{cot 50° cosec 40°} + sin 50° cos 40° + cos^2 50° + tan 30° \)
⇒ (tan 40° sec 50°)/[cot (90° - 40°) cosec (90° - 50°)] + sin 50° cos(90 - 50°) + cos2 50° + tan 30°
⇒ (tan 40° sec 50°)/(tan 40° sec 50°) + sin2 50° + cos2 50° + tan 30°
⇒ 1 + 1 + 1/√3 = (2√3 + 1)/√3
∴ ആവശ്യമായ ഉത്തരം (2√3 + 1)/√3 ആണ്.
Last updated on May 28, 2025
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