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Answer 1 To determine the exact values for sine, cosine, and tangent of a 45-degree angle, consider a right triangle with equal legs. The hypotenuse is √2 times the leg length. Thus, sin(45°) = cos(45°) = 1/√2 or √2/2, and tan(45°) = 1.[yarpp...
Answer 1 To prove the sum of the angles of any triangle equals 180 degrees using trigonometric functions and identities, consider a triangle with angles A, B, and C. Using the identity for the tangent of the sum of two angles, tan(A + B) = (tan A +...
Answer 1 Newton's first law of motion states that an object at rest will stay at rest, and an object in motion will stay in motion at a constant velocity, unless acted upon by an external force. For example, a book on a table will remain stationary...
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Answer 1 The engineering design process involves identifying the problem, researching, brainstorming, conceptualizing, developing prototypes, testing, and refining. Engineers validate the feasibility of a new design through simulations, mathematical...
Answer 1 Newton's First Law of Motion, also known as the Law of Inertia, states that an object at rest will remain at rest, and an object in motion will continue in motion at a constant velocity, unless acted upon by an external force. In everyday...