Home
Class 12
MATHS
If sintheta -cos theta=sqrt(2)costheta,"...

If `sintheta -cos theta=sqrt(2)costheta,"show that"`
`sintheta+costheta=sqrt(2)sintheta(0ltthetalt pi/2).`

Text Solution

Verified by Experts

The correct Answer is:
`therefore sin theta+costheta=sqrt(2)sintheta[because0 ltthetaltpi/2]`
Promotional Banner

Topper's Solved these Questions

  • TRIGONOMETRIC RATIOS [OR FUNCTIONS] OF POSITIVE ACUTE ANGLES

    CHHAYA PUBLICATION|Exercise EXERCISE 2|94 Videos
  • TRIGONOMETRIC RATIOS [OR FUNCTIONS] OF POSITIVE ACUTE ANGLES

    CHHAYA PUBLICATION|Exercise Sample Questions for Competitive Exams|1 Videos
  • TRIGONOMETRIC RATIOS OF MULTIPLE ANGLES

    CHHAYA PUBLICATION|Exercise Comprehension Type|6 Videos
  • VECTOR

    CHHAYA PUBLICATION|Exercise SAMPLE QUESTIONS FOR COMPETITIVE EXAMINATION|18 Videos

Similar Questions

Explore conceptually related problems

If cos theta -sin theta =sqrt(2) sin theta , show that, costheta+sintheta=sqrt(2) cos theta [0ltthetaltpi/2] .

If costheta+sintheta=sqrt2costheta , Prove that costheta-sintheta=sqrt2sintheta

4sinthetacostheta =1+2costheta -2sintheta (0 lt theta lt pi)

If sintheta+costheta=sqrt2 find the value of theta

If P={theta:sintheta-costheta=sqrt2costheta} and Q={theta: sintheta+costheta=sqrt2 sintheta} , then show that P = Q.

Solve theta : 1-2sintheta-2costheta+cottheta=0(0ltthetalt2pi)

sintheta - sqrt(3)costheta =1

If 3sintheta+4costheta=5, then show that 4sintheta-3costheta=0.

costheta - sintheta = 1/sqrt(2) (-pi lt theta lt pi)

(1+sintheta-costheta)/(1+sintheta+costheta) =