Practicing Success

Target Exam

CUET

Subject

General Test

Chapter

Quantitative Reasoning

Topic

Trigonometry

Question:

If cos42° + sin42° = k then what is the value of cos242° - sin242°.

Options:

-k\(\sqrt {1-k}\)

k\(\sqrt {2-k^2}\)

k\(\sqrt {1-k}\)

-k\(\sqrt {1+k}\)

Correct Answer:

k\(\sqrt {2-k^2}\)

Explanation:

cos242° - sin242° = (cos42° + sin42°)(cos42° - sin42°) = (k)(x)

If cos + sin = k, than cos - sin = \(\sqrt {2-k^2}\)  (Always)

So, cos242° - sin242° = k\(\sqrt {2-k^2}\)