The general solution of the equation sin 50 x -cos 50 x -1 isA- 2 n -2B- 2 n -3C- n -2D- n -3

The correct option is C sin^50x =1+cos^50x Since sin^50x ≤ 1 and cos^50x ≤ 1 therefore the two sides are equal if and only if sin^50x=1 and cos^50x=0 ∴ x=nπ+π ...

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

Byju's Answer

Standard XI

Mathematics

Equations involving sinx + cosx and sinx.cosx

The general s...

Question

The general solution of the equation $s i n^{50} x - c o s^{50} x = 1$ is

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

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

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

Open in App

Solution

The correct option is C

$s i n^{50} x = 1 + c o s^{50} x$
Since $s i n^{50} x \leq 1 a n d c o s^{50} x \leq 1$ therefore the two sides are equal if and only if
$s i n^{50} x = 1 a n d c o s^{50} x = 0$
$∴ x = n π + \frac{π}{2}, n \in I$

Suggest Corrections

Similar questions

Q. The general solution of the equation

{sin}^{100} x - {cos}^{100} x = 1

is
(where

n \in Z

)

Q. The general solution of

t a n^{2} θ = 3 i s (n ϵ Z)

Q. The general solution of the equation

sin x + cos x = \frac{3}{2}

Q. General solution of the equation

\sqrt{3} sec 3 x = 2

is :

Q. The general solution of

s i n^{2} x - 2 c o s x + \frac{1}{4} = 0 i s x = (n ϵ Z)

Join BYJU'S Learning Program

The general solution of the equation sin50x−cos50x=1 is

The correct option is C sin50x=1+cos50x Since sin50x≤1 and cos50x≤1 therefore the two sides are equal if and only if sin50x=1 and cos50x=0 ∴x=nπ+π2,n∈I

The general solution of the equation $s i n^{50} x - c o s^{50} x = 1$ is

The correct option is C

$s i n^{50} x = 1 + c o s^{50} x$
Since $s i n^{50} x \leq 1 a n d c o s^{50} x \leq 1$ therefore the two sides are equal if and only if
$s i n^{50} x = 1 a n d c o s^{50} x = 0$
$∴ x = n π + \frac{π}{2}, n \in I$