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

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

Text Solution

Verified by Experts

The correct Answer is:
`sqrt2 cos x = R.H.S.`
Promotional Banner

Topper's Solved these Questions

  • TRIGONOMETRIC FUNCTIONS

    NCERT GUJARATI|Exercise EXERCISE 3.1|7 Videos
  • TRIGONOMETRIC FUNCTIONS

    NCERT GUJARATI|Exercise EXERCISE 3.2|10 Videos
  • STRAIGHT LINES

    NCERT GUJARATI|Exercise Miscellaneous Exercise on Chapter 10|24 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)-y)-sin((pi)/(4)-x)sin((pi)/(4)-y)=sin(x+y)

Prove that cos((3pi)/(2)+x)cos(2pi+x)[cot((3pi)/(2)-x)+cot(2pi+x)]=1

Prove that cos((3pi)/(2)+x)cos(2pi+x).{cot((3pi)/(2)-x)+cot(2pi+x)}=1

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

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

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

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

Prove that (tan((pi)/(4)+x))/(tan((pi)/(4)-x))=((1+tanx)/(1-tanx))^(2)