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Verify the identity:

2 sec^2 x − 2 sec^2 x sin^2 x − sin^2 x − cos^2 x = 1

Sagot :

kritika3375

[tex]\mathrm{Solving}\: \mathrm{prove\:2\sec ^2\left(x\right)-2\sec ^2\left(x\right)\sin ^2\left(x\right)-\sin ^2\left(x\right)-\cos ^2\left(x\right)=1}\\steps \\2\sec ^2\left(x\right)-2\sec ^2\left(x\right)\sin ^2\left(x\right)-\sin ^2\left(x\right)-\cos ^2\left(x\right)=1\\\mathrm{Manipulating\:left\:side}\\2\sec ^2\left(x\right)-2\sec ^2\left(x\right)\sin ^2\left(x\right)-\sin ^2\left(x\right)-\cos ^2\left(x\right)\\=-1+2\cos ^2\left(x\right)\sec ^2\left(x\right)\\=1[/tex]Answer:

Step-by-step explanation:

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