Home
Class 12
MATHS
If x+y=2pi//3 and sin x//siny=2, then...

If ` x+y=2pi//3 ` and ` sin x//siny=2`, then the

A

number of value of ` x in [0,4pi]` are 4

B

number of value of ` x in [0,4pi]` are 2

C

number of value of ` y in [0,4pi]` are 2

D

number of value of ` y in [0,4pi]` are 8

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Similar Questions

Explore conceptually related problems

If x+y=(4pi)/(3) and sin x = 2 sin y , then

If x=cos^(-1)(cos 4) " and " y=sin^(-1)(sin3) , then which of the following holds? (a) x-y=1 (b) x+y+1=0 (c) x+2y=2 (d) x+y=3pi-7

f(x)= {(-4 sin x + cos x",",x le - (pi)/(2)),(a sin x + b",",-(pi)/(2) lt x lt (pi)/(2)),(cos x + 2",",(pi)/(2) le x):} . If f(x) is continuous for x in R , then find the value of a and b.

The area bounded by the Y-axis , y= cos x and y= sin x when 0 le x le (pi)/(2) is

(sin^(-1) x)^2 + (sin^(-1) y)^2 + 2(sin^(-1) x)(sin^(-1) y) = pi^2 , then x^2+y^2 is equal to

Suppose 3 sin ^(-1) ( log _(2) x ) + cos^(-1) ( log _(2) y) =pi //2 " and " sin^(-1) ( log _(2) x ) + 2 cos^(-1) ( log_(2) y) = 11 pi//6 , then the value of x^(-2) + y^(-2) equals

y= sqrt((1- sin 2x)/(1+ sin 2x)) then prove that (dy)/(dx) + sec^(2) ((pi)/(4)-x)= 0

Let f(x) = {{:(-2 sin x,"for",-pi le x le - (pi)/(2)),(a sin x + b,"for",-(pi)/(2) lt x lt (pi)/(2)),(cos x,"for",(pi)/(2) le x le pi):} . If f is continuous on [-pi, pi) , then find the values of a and b.