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slamgirl [31]
3 years ago
13

Can someone help me out please

Mathematics
1 answer:
PIT_PIT [208]3 years ago
4 0

Answer:

1st answer is right answer

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True or false: the equation tan^2x+1=sec^2x
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ANSWER

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The given trigonometric equation is:

{ \tan}^{2} x + 1 = { \sec}^{2} x

We take the LHS and simplify to arrive at the RHS.

{ \tan}^{2} x + 1 =  \frac{{ \sin}^{2} x}{{ \cos}^{2} x}  + 1

Collect LCM on the right hand side to get;

{ \tan}^{2} x + 1 =  \frac{{ \sin}^{2} x + {\cos}^{2} x}{{ \cos}^{2} x}

This implies that

{ \tan}^{2} x + 1 =  \frac{1}{{ \cos}^{2} x} .

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This identity has been verified .Therefore the correct answer is true.

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3 years ago
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