Home
Class 12
MATHS
Find the maximum value of a cos theta + ...

Find the maximum value of `a cos theta + b sin (theta + alpha) [a,b, alpha "are constants"].`

Text Solution

Verified by Experts

The correct Answer is:
`sqrt (a^(2) + 2ab sin alpha + b^(2))`
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

Find the maximum and minimum values of 3 cos theta + 4 sin theta + 5.

Find the maximum value of 1/2sin^2theta+1/3cos^2theta

Find the maximum and minimum values of 5 cos theta + 12 sin theta +12.

Find the simplest value of sin theta x tan theta + cos theta

Find the maximum and minimum value of cos^2theta -6 sin theta .cos theta +3sin^2theta +2

If sin theta = nsin(theta +2alpha) then tan(theta + alpha) =

Find the maximum value of 1+sin(pi/4+theta)+2cos(pi/4-theta) for all real values of theta

If tan theta = a/b then find the simpliest value of (b cos theta-a sin theta)/(b cos theta+ a sin theta)

Find the value of sin^6 alpha+ cos^6 alpha+ 2sin^2 alpha cos^2 alpha .

If angles alpha and beta satisfy the equation a cos theta+ b sin theta= c(a,b,c are constants), prove that- (a) sin (alpha+ beta)= (2ab)/(a^(2)+b^(2)) (b) cos (alpha+beta)=(a^(2)-b^(2))/(a^(2)+b^(2)) (c) cos (alpha- beta)=(2c^(2)-(a^(2)+b^(2)))/(a^(2)+b^(2))