If sin x + a cos x = b, then what is the... - Solved

Home Rankers PYQ Blogs Pricing About Contact

Question 33

Mathematics Trigonometric Equations Hard

If sin x + a cos x = b, then what is the expression for |a sin x - cos x| in terms of a and b?

(A) \(\rm \sqrt{a^2-b^2-1}\)

(B) \(\rm \sqrt{a^2+b^2-1}\)

(C) \(\rm \sqrt{a^2+b^2+1}\)

(D) \(\rm \sqrt{a^2-b^2+1}\)

✓ Correct Answer: Option D Verified Solution

Correct Option is D. Practice regular variations of this Trigonometric Equations concept to build speed and accuracy.

Reinforce your conceptual grasp with related questions from NIMCET 2013:

Full-Length Test Series

Take timed full-length mock tests with authentic question distributions, negative marking (+12/-3 in Math), and instant All India Rank calculation.