Home
Class 12
MATHS
Express (cos theta - sin theta)" in the ...

Express `(cos theta - sin theta)" in the form " r cos (theta+ alpha) and`
`(sqrt 3sin theta + cos theta) " in the form r" sin(theta + beta).`

Text Solution

Verified by Experts

The correct Answer is:
`r = sqrt 2, alpha = pi/4 "and" r = 2, beta = pi/6`
Promotional Banner

Topper's Solved these Questions

  • TRIGONOMETRIC RATIOS OF COMPOUND ANGLES

    CHHAYA PUBLICATION|Exercise Multiple Correct Answers Type|5 Videos

  • TRIGONOMETRIC RATIOS OF COMPOUND ANGLES

    CHHAYA PUBLICATION|Exercise Integer Answer Type|5 Videos

  • TRIGONOMETRIC RATIOS OF COMPOUND ANGLES

    CHHAYA PUBLICATION|Exercise Short Answer Type Questions|26 Videos

  • TRIGONOMETRIC RATIOS OF ASSOCIATED ANGLES

    CHHAYA PUBLICATION|Exercise SAMPLE QUESTIONS FOR COMPETITIVE EXAMS - ASSERTION-REASON TYPE|2 Videos

  • TRIGONOMETRIC RATIOS OF MULTIPLE ANGLES

    CHHAYA PUBLICATION|Exercise Comprehension Type|6 Videos

Similar Questions

Explore conceptually related problems

If sin theta = cos theta then 2 theta =

If sin2 theta = cos 3 theta then theta =

If cos theta - sin theta = sqrt2 sin theta , then show that cos theta+sin theta = sqrt2 cos theta .

If sin theta = cos theta , what is sin theta - cos theta = ?

If cos theta+sin theta = sqrt2 cos theta , then show cos theta-sin theta = sqrt2 sin theta .

If cos theta + sin theta = sqrt2 cos theta , then cos theta - sin theta is___

If x=(2 sin theta)/(1+ sin theta + cos theta) then the value of (1+ sin theta - cos theta)/(1+ sin theta)

sin4theta cos 2theta = cos5theta sin theta

If r cos theta = 3 and r sin theta = sqrt3 , then find the value of r and theta .

cos^(3)theta sin 3theta + sin^(3)theta cos3theta=3/4