If $$\frac{1}{(tanA + cotA)}=x$$, then value of x is
Expression : $$\frac{1}{(tanA + cotA)}=x$$
= $$1\div(tanA+cotA)$$
= $$1\div(\frac{sinA}{cosA}+\frac{cosA}{sinA})$$
= $$1\div(\frac{sin^2A+cos^2A}{sinAcosA})$$
= $$1\div(\frac{1}{sinAcosA})$$
= $$1 \times sinAcosA = sinAcosA$$
=> Ans - (A)
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