MyQuestionIcon

1

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

Tangent, Cotangent, Secant, Cosecant in Terms of Sine and Cosine

If sin x+cose...

Question

If $s i n x + c o s e c x = 2$ , then $s i n^{n} x + c o s e c^{n} x$ is equal to

A

2

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

B

1

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

C

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

D

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

Open in App

Solution

The correct option is A
2

$s i n x + c o s e c x = 2 \Rightarrow (s i n x - 1)^{2} = 0 \Rightarrow s i n x = 1$
$∴ s i n^{n} x + c o s e c^{n} x = 1 + 1 = 2$

Suggest Corrections

thumbs-up

0

Similar questions

If sin x +cosec x =2, then write the value of $s i n^{n} x + c o s e c^{n} x .$

sin x + csc x = 2

{sin}^{n} x + {csc}^{n} x

sin x + cos sec x = 2,

{sin}^{n} x + cos {sec}^{n} x

sin x + c o s e c x = 2,

({sin}^{10} x + c o s e c^{10} x)

tan \frac{x}{2} = cos e c x + sin x

{sec}^{2} \frac{x}{2}

View More

Join BYJU'S Learning Program

similar_icon

Related Videos

lock

MATHEMATICS

Watch in App

explore_more_icon

Explore more

Tangent, Cotangent, Secant, Cosecant in Terms of Sine and Cosine

Standard XI Mathematics

Join BYJU'S Learning Program

CrossIcon