Consider the following two statements: Statement I: \(\frac{\cot 30^{\circ}+1}{\cot 30^{\circ}-1}=2\left(\cos 30^{\circ}+1\right)\) Statement II : \(2 \sin 45^{\circ} \cos 45^{\circ}-\tan 45^{\circ}…
Question and options
Consider the following two statements:
Statement I:
Statement II :
Which of the following is correct?
Statement I:
Statement II :
Which of the following is correct?
- Both Statement I and Statement II are true
- Neither Statement I nor Statement II is true
- Only Statement I is true
- Only Statement II is true
Answer and explanation
Correct answer: A - Both Statement I and Statement II are true
I: (sqrt3+1)/(sqrt3-1) = (sqrt3+1)^2/2 = 2+sqrt3, and 2(cos30+1) = sqrt3+2, so I is true. II: 2 x (1/sqrt2)(1/sqrt2) - 1x1 = 1-1 = 0, so II is true.
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JIPMAT
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