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Question Number 37110 by mondodotto@gmail.com last updated on 09/Jun/18

$$\mathbf{prove}\mathbf{that}$$$${(\mathbf{cos}\mathit{\vartheta }-\mathbf{sin}\mathit{\vartheta })}^2+{(\mathbf{cosec}\mathit{\vartheta }+\mathbf{sin}\mathit{\vartheta })}^2=2$$

Commented by tanmay.chaudhury50@gmail.com last updated on 09/Jun/18

$$tomakeittruereplacecosec\theta bycos\theta$$

Commented by candre last updated on 09/Jun/18

$$\vartheta =\pi /2$$$${(\cos \vartheta -\sin \vartheta )}^2+{(\mathrm{cosec}\vartheta +\sin \vartheta )}^2=$$$${(0-1)}^2+{(1+1)}^2=1+4=5$$$$\mathrm{are}\mathrm{you}\mathrm{sure}\mathrm{question}\mathrm{is}\mathrm{right}?$$

Answered by MJS last updated on 09/Jun/18

$${\mathrm{it}}^{\prime }\mathrm{s}\mathrm{not}\mathrm{true}$$

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