What is the simplified value of A A -tan A 2

The correct option is A 1 cos ^ 2 A ( A #160; A +tan A #160; #160; ) #160; ^ 2 = ( sin A cos A #160; cos A #160; #160; ) # ...

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Standard XII

Mathematics

General Solution of Trigonometric Equation

What is the s...

Question

What is the simplified value of ${(\frac{sec A}{cot A + tan A})}^{2}$

1 - {cos}^{2} A

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2 {sin}^{2} A

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{sec}^{2} A

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c o {sec}^{2} A

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Solution

The correct option is A $1 - {cos}^{2} A$
${(\frac{sec A}{cot A + tan A})}^{2} = {(\frac{sin A cos A}{cos A})}^{2} \Rightarrow {sin}^{2} A = 1 - {cos}^{2} A$

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What is the simplified value of (secAcotA+tanA)2

The correct option is A 1−cos2A(secAcotA+tanA)2=(sinAcosAcosA)2⇒sin2A=1−cos2A

What is the simplified value of ${(\frac{sec A}{cot A + tan A})}^{2}$

The correct option is A $1 - {cos}^{2} A$
${(\frac{sec A}{cot A + tan A})}^{2} = {(\frac{sin A cos A}{cos A})}^{2} \Rightarrow {sin}^{2} A = 1 - {cos}^{2} A$