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Math 151 Trig Review © Louder Learn LLC. tamu.louderlearn.com • • • • • Converting between radians and degrees Unit Circle Drawing angles on the coordinate system Trig ratios Trigonometric Identities © Louder Learn LLC. tamu.louderlearn.com 2 Question 1 – Converting Degrees to Radians Convert the angle theta from degrees to radians. Theta = 240O Theta = 30O Theta = 540O Theta = 480O Theta = 360O Theta = 90O © Louder Learn LLC. tamu.louderlearn.com 3 Question 2 – Converting Radians to Degrees Convert the angle theta from radians to degrees. Theta = 5pi/12 Theta = pi/2 Theta = 2pi Theta = 11pi/6 Theta = 17pi/4 Theta = 19pi/12 © Louder Learn LLC. tamu.louderlearn.com 4 Question 3 – Unit Circle Draw the unit circle for all quadrants. © Louder Learn LLC. tamu.louderlearn.com 5 Question 4 – Finding Angles on the Coordinate Plane Draw a line showing where the angle theta is on the coordinate plane. Theta = pi/4 radians Theta = 11pi/6 radians Theta = 4pi/3 radians Theta = -pi/3 radians © Louder Learn LLC. tamu.louderlearn.com 6 Question 5 – Trig Ratios Given the Angle Only Find all six trigonometric ratios for the following angle: Theta = 3pi/4 © Louder Learn LLC. tamu.louderlearn.com 7 Question 56– Trig Ratios Given the Angle Only Find all six trigonometric ratios for the following angle: Theta = -pi/4 © Louder Learn LLC. tamu.louderlearn.com 8 Question 7 – Trig Ratios Given the Angle Only Find all six trigonometric ratios for the following angle: Theta = 17pi/6 © Louder Learn LLC. tamu.louderlearn.com 9 Question 8 – Other Trig Ratio Scenarios Find the remaining trigonometric ratios given that: Sin(theta) = 3/5 0<theta<pi/2 © Louder Learn LLC. tamu.louderlearn.com 10 Question 9 – Other Trig Ratio Scenarios Find the remaining trigonometric ratios given that: cos(theta) = 6/10 3pi/2<theta<2pi © Louder Learn LLC. tamu.louderlearn.com 11 Question 10 – Trig Identities List known trig identities. © Louder Learn LLC. tamu.louderlearn.com 12 Question 11 – Trig Identities Prove that the following equation is true using trig identities. (sin(x) + cos(x))^2 = 1 + sin(2x) © Louder Learn LLC. tamu.louderlearn.com 13 Question 12 – Trig Identities Find the angle(s) that satisfy the following equation. 2(sin(x))^2 = 1 © Louder Learn LLC. tamu.louderlearn.com 14 Question 13 – Trig Identities Find the angle(s) that satisfy the following equation. sin(2x) = cos(x) © Louder Learn LLC. tamu.louderlearn.com 15 Question 14 – Trig Identities Find the angle(s) that satisfy the following equation. 3(cot(x))^2 = 1 © Louder Learn LLC. tamu.louderlearn.com 16 Math 151 Trig Review © Louder Learn LLC. tamu.louderlearn.com
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