CameraIcon

SearchIcon

MyQuestionIcon

1

You visited us 1 times! Enjoying our articles? Unlock Full Access!

Product of Trigonometric Ratios in Terms of Their Sum

Evaluate: si...

Question

Evaluate:
${sin}^{2} 0 + {sin}^{2} {(\frac{π}{6})}^{c} + {sin}^{2} {(\frac{π}{3})}^{c} + {sin}^{2} {(\frac{π}{2})}^{c}$ ?

Open in App

Solution

$= {(sin 0)}^{2} + (sin 30)^{2} + (sin 60)^{2} + (sin 90)$
$= 0 + {(\frac{1}{2})}^{2} + {(\frac{\sqrt{3}}{2})}^{2} + 1$
$= 2$

Suggest Corrections

thumbs-up

0

Similar questions

\int \frac{cos x}{{sin}^{2} x - {sin}^{2} \frac{π}{6}} d x

\frac{{tan}^{2} {(\frac{π}{6})}^{c} + {sin}^{2} {(\frac{π}{6})}^{c} + {cos}^{2} {(\frac{π}{3})}^{c}}{{sec}^{2} {(\frac{π}{4})}^{c} - {cos}^{2} π^{c}} = \frac{1}{\sqrt{3}} sec {(\frac{π}{6})}^{c} + \frac{1}{3} cos {(\frac{π}{3})}^{c}

{lim}_{x \to π} \frac{{sin}^{2} x + {cos}^{2} x}{{sin}^{2} x - {cos}^{2} x}

Q. Find the value of

{sin}^{2} \frac{π}{10} + {sin}^{2} \frac{4 π}{10} + {sin}^{2} \frac{6 π}{10} + {sin}^{2} \frac{9 π}{10}

Q. The value of

{sin}^{2} \frac{π}{8} + {sin}^{2} \frac{3 π}{8} + {sin}^{2} \frac{5 π}{8} + {sin}^{2} \frac{7 π}{8}

View More

Join BYJU'S Learning Program

similar_icon

Related Videos

lock

Transformations

MATHEMATICS

Watch in App

explore_more_icon

Explore more

Product of Trigonometric Ratios in Terms of Their Sum

Standard XII Mathematics

Join BYJU'S Learning Program

CrossIcon