JEE MATHEMATICS MCQ: TRIGONOMETRY RATIOS

1 Medium

1 of 1

Analyzing +4 | -1

{\sin ^2}\,\,\theta = \frac{{4\,xy}}{{{{\left( {x + y} \right)}^2}}}

is true if and only if

View answer and explanation

Correct option: B

x = y,\;x \ne 0,\;\,y \ne 0

Option B (

x = y,\;x \ne 0,\;\,y \ne 0

) is correct because the equation holds true only when x and y are equal and non-zero, ensuring that the sine squared value is less than or equal to 1.

More Questions from TRIGONOMETRY RATIOS

Practice All Chapter MCQs →

\tan \alpha=\frac{p}{q}

, where

\alpha=6 \beta

and

\alpha

being an acute angle, then

\frac{1}{2}[p \operatorname{cosec} 2 \beta-q \sec 2 \beta]

is equal to The value of

\cos 12^{\circ}+\cos 84^{\circ}+\cos 156^{\circ}+\cos 132^{\circ}

is If the

\triangle A B C

is acute angled at

C

, then The value of the expression

{\sin ^6}\,\,\theta + {\cos ^6}\,\,\theta + 3{\sin ^2}\,\,\theta \,\,{\cos ^2}\,\,\theta

equals

\sin ^2 \frac{A}{2}+\sin ^2 \frac{B}{2}+\sin ^2 \frac{C}{2}=

\sin ^2(A / 2)+\sin ^2(B / 2)-\sin ^2(C / 2)=