Double Angle Formula Teacher Resources
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Students use the double angle formula to solve one problem. They are given the problem: if sin(a)=3/5, and a is an acute angle, use the double angle formula to find exact values of given sin, cosign, and tangent within the quadrant of angle 2a.
Investigate the properties of a Unit Circle, wahoo! Your class will memorize the basic identities of sine, cosine, and tangent. Then those smart cookies can investigate the negative of an angle measure using sine and cosine. Included are a series of critical thinking questions and vocabulary list is included.
In this calculus worksheet, students solve various functions for the Taylor Series using a variety of solving methods including the double angle formula, partial fractions, and u substitution. There are 8 questions.
In this double-angle formula worksheet, students find the exact value of equations using double-angle formulas. Students use half-angle formulas to determine the value of sine, cosine and tangent of given angles. This two-page worksheet contains 11 problems.
In this video, Sal derives a number of trigonometric identities. Starting with the sum of angles formula for sine and cosine, Sal proves a number of other identities including the double-angle formulas, the difference of angles formulas, half-angle formula for sine, and the power reduction formula.
In this video, Sal reviews the basic trigonometric definitions and identities including the sum of angles formulas and then derives the double angle formulas.
In this video, Sal reviews the basic trigonometric definitions and identities including the sum of angles formulas and then derives the double angle formulas.
Sal takes the mystery out of the trigonometric identities by showing how easily they can be derived. He continues with a problem he started in the video �Trig identities part three (part five if you watch the proofs) and proves the trig identities cos (-a) = cos a and sin (-a) = sin (a). He also proves sin(a + _/2) = cos (a)and sin (a) = cos (a - _/2) along with the difference of angle formulas by using the sum of angle formula.
Sal takes the mystery out of the trigonometric identities by showing how easily they can be derived. He continues with a problem he started in the video ï¿½Trig identities part 3 (part 5 if watch the proofs)ï¿½ and proves the trig identities cos (-a) = cos a and sin (-a) = sin (a). He also proves sin(a + ï¿½/2) = cos (a)and sin (a) = cos (a - ï¿½/2) along with the difference of angle formulas by using the sum of angle formula.
In this algebra worksheet, students set up formulas to solve for the angle using either the double angle or half angle formula. There are 5 multiple choice questions.
Sal solves an interesting question in this video from a college entrance exam in India that requires one to use knowledge of arithmetic progressions, trigonometric identities, and algebra. He works through solving the problem in a step-by-step fashion by talking through his thought process in order to help one follow the solution as well as understand why certain steps are taken.
Sal explores more complex limit problems including showing how to take the limit of an expression with a square root by using the conjugate and how to simplify trigonometric functions that are part of limit problems. Note: A mistake is made on the last step of the first problem where multiplication should have been used instead of addition, resulting in the correct answer of 3/16.
Sal solves an interesting question in this video from a college entrance exam in India that requires one to use knowledge of arithmetic progressions, trigonometric identities, and algebra. He works through solving the problem in a step-by-step fashion by talking through his thought process in order to help one follow the solution as well as understand why certain steps are taken.
Sal explores more complex limit problems including showing how to take the limit of an expression with a square root by using the conjugate and how to simplify trigonometric functions that are part of limit problems. Note: A mistake is made on the last step of first problem where multiplication should have been used instead of addition, resulting in the correct answer of 3/16.
Students solve optimization problems. In this geometry lesson, individuals use the educational software "Geometer's Sketchpad" to complete the included worksheet covering the area of triangles and optimization.