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If 0 < x < 2π and 5 cos x = √5 , what is the value of 
Correct answer is '0.089'. Can you explain this answer?
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If 0 < x < 2π and 5 cos x = √5 , what is the valueofCor...
Given equation: 5 cos x = √5
Divide by 5: cos x = √5/5
This gives us the value of cos x, but we are asked to evaluate
which of course is in terms of sin x.
This should remind you of the Pythagorean Identity, for all real numbers x, sin2x + cos2x = 1.
Pythagorean Identity: sin2x + cos2x = 1
Subtract cos2x: sin2x = 1 - cos2x
Expression to be evaluated:
Simplify:
Substitute sin2x = 1 - cos2x
Substitute cos x = √5/5
Simplify:
Simplify:
Simplify by multiplying 5/5: 4/45 or .088 or .089
Divide by 5: cos x = √5/5
This gives us the value of cos x, but we are asked to evaluate
which of course is in terms of sin x.This should remind you of the Pythagorean Identity, for all real numbers x, sin2x + cos2x = 1.
Pythagorean Identity: sin2x + cos2x = 1
Subtract cos2x: sin2x = 1 - cos2x
Expression to be evaluated:
Simplify:
Substitute sin2x = 1 - cos2x
Substitute cos x = √5/5
Simplify:
Simplify:
Simplify by multiplying 5/5: 4/45 or .088 or .089
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If 0 < x < 2π and 5 cos x = √5 , what is the valueofCorrect answer is '0.089'. Can you explain this answer?
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If 0 < x < 2π and 5 cos x = √5 , what is the valueofCorrect answer is '0.089'. Can you explain this answer? for SAT 2025 is part of SAT preparation. The Question and answers have been prepared according to the SAT exam syllabus. Information about If 0 < x < 2π and 5 cos x = √5 , what is the valueofCorrect answer is '0.089'. Can you explain this answer? covers all topics & solutions for SAT 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If 0 < x < 2π and 5 cos x = √5 , what is the valueofCorrect answer is '0.089'. Can you explain this answer?.
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