MyQuestionIcon

1

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

Integration by Parts

The value of ...

Question

The value of $4 ({sin}^{4} 30^{\circ} + {cos}^{4} 60^{\circ}) - 3 ({cos}^{2} 45^{\circ} - {sin}^{2} 90^{\circ})$ is

A

0

No worries! We‘ve got your back. Try BYJU‘S free classes today!

B

1

No worries! We‘ve got your back. Try BYJU‘S free classes today!

C

2

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

D

-2

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Open in App

Solution

The correct option is C 2
$4 (s i n^{4} 30^{\circ} + c o s^{4} 30^{\circ}) - 3 (c o s^{2} 45^{\circ} - s i n^{2} 90^{\circ})$
$\Rightarrow 4 (\frac{1}{16} + \frac{1}{16}) - 3 (\frac{1}{2} - 1)$
$\frac{1}{2} + \frac{3}{2} = 2$

Suggest Corrections

thumbs-up

0

Similar questions

4 ({sin}^{4} 30^{\circ} + {cos}^{4} 60^{\circ} - 3 ({cos}^{2} 45^{\circ} - {sin}^{2} 90^{\circ})

Q. Calculate the value of the expression

4 ({sin}^{4} 30^{\circ} + {cos}^{4} 30^{\circ}) - 3 ({cos}^{2} 45^{\circ} - {sin}^{2} 90^{\circ})

Q. The value of

4 ({sin}^{4} 30^{\circ} + c o s^{4} 60^{\circ}) ({cos}^{2} 45^{\circ} - {sin}^{2} 90^{\circ}) + {tan}^{4} 45^{\circ} - {cot}^{2} 45^{\circ}

Q. Evaluate each of the following :

4 (s i n^{4} 30^{\circ} + c o s^{2} 60^{\circ}) - 3 (c o s^{2} 45^{\circ} - s i n^{2} 90^{\circ}) - s i n^{2} 60^{\circ}

Q. Evaluate the following

(i) \frac{1 + {tan}^{2} 30^{\circ}}{1 - {tan}^{2} 30^{\circ}} + c o s e c^{2} 60^{\circ} - {cos}^{2} 45^{\circ} + {sin}^{2} 45^{\circ} + \frac{1 + {cot}^{2} 60^{\circ}}{1 - {cot}^{2} 60^{\circ}}

(i i) 4 ({sin}^{4} 30^{\circ} + {cos}^{4} 60^{\circ}) - 3 ({cos}^{2} 45^{\circ} - {sin}^{2} 90^{\circ})

View More

Join BYJU'S Learning Program

similar_icon

Related Videos

lock

Integration by Parts

MATHEMATICS

Watch in App

explore_more_icon

Explore more

Integration by Parts

Standard XII Mathematics

Join BYJU'S Learning Program

CrossIcon