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How do I solve Cos(theta)= 3/7 if 0 degrees is less than or equal to theta and theta is less than or equal to 90 degrees?

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You know the cosine is positive in quadrants I and IV
so take the inverse cosine of 3/7
My calculator gave me 64.62 degrees.
Since you only wanted the angle in the first quadrant, that's all.

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