Question
What is the simplified value of (cos A + sin A)(cot A + tan A)?
(Cos A + sin A) (cot A + tan A) का सरलीकृत मान क्या है?
Answer A.
A.(Cos A + Sin A) (cot A + tan A)
=(Cos A + Sin A)(Cos A/Sin A+ Sin A/CosA)
=(Cos A + Sin A)(Cos^2 A+Sin^2 A / Cos A . Sin A)
=(Cos A + Sin A)(1/ Cos A . Sin A)
=Cos A/Cos A . Sin A + Sin A/Cos A . Sin A
=1/Sin A +1/Cos A
=Cosec A + Sec A
So the correct answer is option A.
A.(Cos A + Sin A) (cot A + tan A)
=(Cos A + Sin A)(Cos A/Sin A+ Sin A/CosA)
=(Cos A + Sin A)(Cos^2 A+Sin^2 A / Cos A . Sin A)
=(Cos A + Sin A)(1/ Cos A . Sin A)
=Cos A/Cos A . Sin A + Sin A/Cos A . Sin A
=1/Sin A +1/Cos A
=Cosec A + Sec A
इसलिए सही उत्तर विकल्प A है।
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