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If Tan2 45° − Cos2 30° = X Sin 45° Cos 45°, Then X = - Mathematics

MCQ

If tan2 45° − cos2 30° = x sin 45° cos 45°, then x

Options

  • 2

  •  −2

  • \[- \frac{1}{2}\]

  • \[\frac{1}{2}\]

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Solution

We are given:` tan^2 45°-cos^2 30°=x sin 45° cos 45°`

We have to find 

⇒` 1-(sqrt3/2)^2=x 1/sqrt2 xx1/sqrt2` 

⇒ `1-3/4=x/2` 

⇒ `1/4=x/2`

⇒`x=1/2` 

We know that  ` sin°45=1/sqrt2 , cos 45°=1/sqrt2, tan 45°=1, cos 30°=sqrt3/2`

  Is there an error in this question or solution?
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APPEARS IN

RD Sharma Class 10 Maths
Chapter 10 Trigonometric Ratios
Q 10 | Page 57
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