MyQuestionIcon

1

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

Trigonometric Identities

If x=asinθ ...

Question

If $x = a sin θ$ and $y = a cos θ$ then find the value of $x^{2} + y^{2}$

A

a^{2}

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

B

4 a^{2}

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

C

2 a^{2}

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

D

None of these

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

Open in App

Solution

The correct option is A $a^{2}$
$x^{2} + y^{2} = a^{2} s i n^{2} θ + a^{2} c o s^{2} θ = a^{2} (s i n^{2} θ + c o s^{2} θ) = a^{2}$

Suggest Corrections

thumbs-up

1

Similar questions

a cos θ - b sin θ = x

a sin θ + b cos θ = y

\frac{a^{2} + b^{2}}{x^{2} + y^{2}}

x = a cos θ - b sin θ

y = a sin θ + b cos θ

what is the value of

\frac{x^{2} + y^{2}}{a^{2} + b^{2}}

x = a sin θ + c cos θ

y = a cos θ - c sin θ

x^{2} + y^{2} = a^{2} + c^{2}

.

x = a sin θ + b cos θ

y = a cos θ - b sin θ

, then prove that

x^{2} + y^{2} = a^{2} + b^{2}

x = a cos θ - b sin θ a n d y = a sin θ + b c o s θ

a^{2} + b^{2} = x^{2} + y^{2}

.

View More

Join BYJU'S Learning Program

similar_icon

Related Videos

lock

Trigonometric Identities_Concept

MATHEMATICS

Watch in App

explore_more_icon

Explore more

Trigonometric Identities

Standard X Mathematics

Join BYJU'S Learning Program

CrossIcon