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a)Solve for ?, if tan5? = 1.
Ans: Tan 5? = 1 ⇒ ? =45/5 ⇒ ?=9o.
b)Solve for ? if Sin?/1 + Cos? + 1 + Cos?/ Sin? = 4 .
Ans: Sin?/1 + Cos? + 1 + Cos?/ Sin? = 4
Sin2?/1 + 1 (Cos?)2/ Sin?(1 + Cos?) = 4
Sin2?+1 + Cos2? + 2cos?/ Sin? +Sin?Cos? = 4
2 +2Cos? / Sin?(1+ cos?) =4
2+(1+ cos?)/Sin?(1+ cos?) = 4
2/sin? = 4
sin ? = 1/2
sin ? = sin 30
? = 30o
Substitution Rule for Definite Integrals Now we need to go back and revisit the substitution rule as it also applies to definite integrals. At some level there actually isn't
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assignment of mathematics in b.sc. 1sem
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