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1-lim-a-x-sin-x-2-a-2-x-3-a-3-2-cot-80-tan-10-2-tg-70-




Question Number 182200 by Shrinava last updated on 05/Dec/22
1.   lim_(a→−x)  ((sin(x^2  − a^2 ))/(x^3  + a^3 )) = ?    2.   cot 80° (tan 10° + 2 tg 70°) = ?
1.limaxsin(x2a2)x3+a3=?2.cot80°(tan10°+2tg70°)=?
Answered by cortano1 last updated on 06/Dec/22
1. lim_(a→−x)  ((sin (x+a)(x−a))/((x+a)(x^2 −ax+a^2 )))   = ((2x)/(3x^2 )) = (2/(3x))
1.limaxsin(x+a)(xa)(x+a)(x2ax+a2)=2x3x2=23x
Answered by som(math1967) last updated on 06/Dec/22
2. tan80=((tan70+tan10)/(1−tan70tan10))   ⇒tan80−tan70.tan10.tan80        =tan70+tan10  ⇒tan80−tan70.tan10.cot10      =tan70+tan10  ⇒tan80−tan10=2tan70  now cot80(tan10+2tan70)  =cot80(tan10+tan80−tan10)  =cot80×tan80=1 ans
2.tan80=tan70+tan101tan70tan10tan80tan70.tan10.tan80=tan70+tan10tan80tan70.tan10.cot10=tan70+tan10tan80tan10=2tan70nowcot80(tan10+2tan70)=cot80(tan10+tan80tan10)=cot80×tan80=1ans

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