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Question: If sin(x) = 1/√2, what is the value of cos(x)?Options: 1/√20√2/21Correct Answer: 1/√2Solut..
Question: If cos(x) = 1/2, what is the value of sin(x)?Options: √3/21/20√2/2Correct Answer: √3/2Solu..
Question: Solve the equation sin(3x) = 0 for x in the interval [0, 2π].Options: 0, π, 2π0, π/3, 2π/3..
Question: Find the values of x that satisfy 3cos^2(x) - 1 = 0.Options: π/3, 2π/30, ππ/2, 3π/20, 2πCo..
Question: Find the general solution of the equation sin(x) = sin(2x).Options: x = nπx = nπ/3x = nπ/2..
Question: Solve the equation 2sin(x) + √3 = 0 for x in the interval [0, 2π].Options: 5π/3π/32π/34π/3..
Question: Find the values of x that satisfy sin^2(x) - sin(x) = 0.Options: 0, π0, π/20, 2π0, 3π/2Cor..
Question: In triangle ABC, if the lengths of the sides are 8, 15, and 17, what is the type of triang..
Question: What is the circumradius of a triangle with sides 7, 24, and 25?Options: 12.5131415Correct..
Question: In triangle ABC, if angle A = 45 degrees and angle B = 45 degrees, what is angle C?Options..
Question: If the angles of triangle ABC are in the ratio 2:3:4, what is the measure of the largest a..
Question: In triangle ABC, if the lengths of the sides are a = 5, b = 12, and c = 13, what is the pe..
Question: What is the length of the altitude from vertex A to side BC in triangle ABC with sides AB ..
Question: From a point on the ground, the angle of elevation to the top of a tower is 60 degrees. If..
Question: A person is standing 50 m away from a building. If the angle of elevation to the top of th..
Question: A man is standing on the ground and looking at the top of a 15 m high pole. If he is 20 m ..
Question: A person is standing 40 m away from a building. If the angle of elevation to the top of th..
Question: From a point on the ground, the angle of elevation to the top of a hill is 45 degrees. If ..
Question: A tower is standing on a horizontal ground. The angle of elevation of the top of the tower..
Question: If sin(θ) = 0, what are the possible values of θ in the interval [0, 2π]?Options: 0, π0, 2..
Question: If sin(θ) = 3/5, what is cos(θ)?Options: 4/53/55/41/5Correct Answer: 4/5Solution: Using th..
Question: If cos(α) = 1/2, what are the possible values of α in the interval [0, 2π]?Options: π/3, 5..
Question: What is the value of sin(2θ) if sin(θ) = 1/√2?Options: 1/√21√2/2√2Correct Answer: 1Solutio..
Question: If tan(θ) = 3/4, what is the value of sin(θ)?Options: 3/54/55/51Correct Answer: 3/5Solutio..
Question: What is the value of cos(π/3)?Options: 01/21√3/2Correct Answer: 1/2Solution: cos(π/3) = 1/..
Question: If sin(x) = 1/2, what is the value of x in the interval [0, 2π]?Options: π/65π/67π/611π/6C..
Question: A box contains 10 balls, 4 of which are red and 6 are blue. If one ball is drawn, what is ..
Question: A family has 2 children. What is the probability that both children are boys, given that a..
Question: A jar contains 4 red, 5 green, and 6 blue marbles. If one marble is drawn at random, what ..
Question: In a lottery, there are 10 tickets, and 3 of them are winning tickets. If one ticket is dr..
