If x = 4cosA + 5sinA and y = 4 sinA - 5

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Target Exam

CUET

Subject

General Aptitude Test

Chapter

Quantitative Reasoning

Topic

Trigonometry

Question:

If x = 4cosA + 5sinA and y = 4 sinA - 5 cosA, then the value of x² +y²is

Options:

Correct Answer:

Explanation:

x= 4cosA + 5sinA

y= 4sinA - 5cosA

x² = 16cos² A + 25sin² A + 40 cosA sinA

y² = 16sin² A + 25cos² A - 40 cosA sinA

x² +y² = 16(cos² A + sin² A) + 25(sin² A + cos² A)= 41