This math topic focuses on using trigonometric identities, specifically Pythagorean identities, to solve for the cosine of an angle given the sine and the sign of the tangent. The problems involve substituting the sine value into the identity sin²θ + cos²θ = 1 to find the cosine value and taking into account the quadrant information implied by the sign of the tangent, which affects the sign of the cosine result. It aims to deepen understanding of fundamental trigonometric relationships and their applications in different quadrants.
Work on practice problems directly here, or download the printable pdf worksheet to practice offline.
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