Home
Class 11
MATHS
Prove that cos((pi)/(4)-x)cos((pi)/(4)...

Prove that
`cos((pi)/(4)-x)cos((pi)/(4)-y)-sin((pi)/(4)-x)sin((pi)/(4)-y)=sin(x+y)`

Text Solution

Verified by Experts

The correct Answer is:
`sin(x+y)(becausecos((pi)/(2)-theta)=sintheta)`
Promotional Banner

Topper's Solved these Questions

  • TRIGONOMETRIC FUNCTIONS

    KUMAR PRAKASHAN|Exercise EXERCISE 3.4|9 Videos

  • TRIGONOMETRIC FUNCTIONS

    KUMAR PRAKASHAN|Exercise EXERCISE 3.5|16 Videos

  • TRIGONOMETRIC FUNCTIONS

    KUMAR PRAKASHAN|Exercise EXERCISE 3.2|10 Videos

  • STRAIGHT LINES

    KUMAR PRAKASHAN|Exercise Question of Module (Knowledge Test :)|18 Videos

Similar Questions

Explore conceptually related problems

Prove that cos((3pi)/(4)+x)-cos((3pi)/(4)-x)=-sqrt(2)sinx

Prove that, cos((pi)/(4)+x)+cos((pi)/(4)-x)=sqrt(2)cosx .

Prove that, 3sin((pi)/(6))sec((pi)/(3))-4sin((5pi)/(6))cot((pi)/(4))=1 .

Prove that, sin((8pi)/(3))cos((23pi)/(6))+cos((13pi)/(3))sin((35pi)/(6))=(1)/(2)

Prove that : sin^(2)((pi)/(6))+cos^(2)((pi)/(3))-tan^(2)((pi)/(4))=-(1)/(2)

sin((7pi)/(12))cos(pi/4)-cos((7pi)/(12))sin(pi/4)=...........

Prove that : 2sin^(2)((3pi)/(4))+2cos^(2)((pi)/(4))+2sec^(2)((pi)/(3))=10

Prove that, 3sin""(pi)/(6)sec""(pi)/(3)-4sin""(5pi)/(6)cot""(pi)/(4)=1

Prove that (cos(pi+x)cos(-x))/(sin(pi-x)cos((pi)/(2)+x))=cot^(2)x

Prove that, sin^(2)((pi)/(18))+sin^(2)((pi)/(9))+sin^(2)((7pi)/(18))+sin^(2)((4pi)/(9))=2