Home
Class 11
MATHS
Consider the following two statements: ...

Consider the following two statements:
Statement p:
The value of sin `120^(@)` can be derived by taking `theta=240^(@)` in the equation :
`2 sin (theta)/(2)=sqrt(1+sin theta)- sqrt(1- sin theta)`
Statement q:
The angles A, B, C and D of any quadrilateral ABCD satisfy the equation `cos ((1)/(2) (A+C))+ cos ((1)/(2) (B+D))=0`
Then the truth values of p and q are, respectively,

A

F,T

B

T,F

C

T,T

D

F,F

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Similar Questions

Explore conceptually related problems

The value of theta in the range 0 lt= theta lt= (pi)/(2) which satisfies the equation sin ( theta +(pi)/(6)) = cos theta is equal to

Prove that sin (3theta)/(1+2cos 2theta)=sin theta .

If z= re^(i theta ) , " then " |e^(iz) | is equal to a)1 b) e^(2r) sin theta c) e^( r sin theta) d) e^(-r sin theta)

Consider the equation costheta+sintheta=sqrt2 prove that sin((pi/4)+theta)=1

If cos theta+sin theta=sqrt(2) cos theta ,then show that cos theta-sin theta=sqrt(2) sin theta

int ((sin theta +cos theta ))/(sqrt(sin 2 theta)) d theta is equal to :

Prove that (sin2theta)/(1+cos2theta)=tantheta

Prove that (sin2theta)/(1-cos2theta)=cottheta

Find real theta such that (3+2 i sin theta)/(1-2 i sin theta) is purely real:

int _(0) ^( pi //2) (cos theta )/( sqrt ( 4 - sin ^(2) theta)) d theta is equal to :