To find cos(4) using the trig identity sin^2(A) + cos^2(A) = 1, we can rearrange the formula as:
cos^2(4) = 1 - sin^2(4)
Now, let's substitute the given value of sin(4) into the equation:
cos^2(4) = 1 - (0.325)^2
cos^2(4) = 1 - 0.105625
cos^2(4) = 0.894375
To find cos(4), we take the square root of both sides:
cos(4) = ± √0.894375
Since we are looking for the value of cos(4) in quadrant I, where cos is positive, we can discard the negative sign:
cos(4) = √0.894375
cos(4) ≈ 0.9461 (rounded to ten thousandth)
Suppose sin(4) -
Use the trig identity sin² (A) + cos2 (4) - 1 to find cos(4) in quadrant I. Show all steps and round to ten-thousandth.
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Suppose sin(4) - Use the trig identity sin² (A) + - 1
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