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Question Number 18474 by Tinkutara last updated on 22/Jul/17

$$\mathbf{Assertion}-\mathbf{Reason}\mathbf{Type}\mathbf{Question}$$$$\mathrm{STATEMENT}-1:f\left(x\right)={\log }_{\cos x}\sin x\mathrm{is}$$$$\mathrm{well}\mathrm{defined}\mathrm{in}(0,\frac{\pi }{2}).$$$$\mathbf{and}$$$$\mathrm{STATEMENT}-2:\sin x\mathrm{and}\cos x\mathrm{are}$$$$\mathrm{positive}\mathrm{in}(0,\frac{\pi }{2}).$$

Answered by sushmitak last updated on 22/Jul/17

$$1\mathrm{true}$$$$2\mathrm{true}$$$$2\mathrm{is}\mathrm{correct}\mathrm{explaination}\mathrm{for}1.$$

Commented by Tinkutara last updated on 22/Jul/17

$$\mathrm{But}\mathrm{answer}\mathrm{is}\mathrm{both}\mathrm{are}\mathrm{true}\mathrm{but}2\mathrm{is}\mathrm{not}$$$$\mathrm{explanation}\mathrm{of}1.$$

Commented by sushmitak last updated on 23/Jul/17

$${\log }_{x}y\mathrm{is}\mathrm{defined}\mathrm{for}x>0\mathrm{and}x\ne 1$$$$\mathrm{and}y>0.$$

Commented by Tinkutara last updated on 23/Jul/17

$$\mathrm{Thanks}\mathrm{Sir}!$$

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