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Curated Video
Checking and securing understanding of cosine problems
Pupil outcome: I can use the cosine ratio to find the missing side or angle in a right-angled triangle. Key learning points: - The cosine ratio involves the hypotenuse, adjacent and the angle - If you know the length of the hypotenuse...
Curated Video
Considering the appropriate trigonometric rule
Pupil outcome: I can consider which approach is useful considering the properties/restrictions of a problem. Key learning points: - At this point, you have multiple strategies available - By analysing the problem, you can determine which...
Curated Video
Calculating arc length
Pupil outcome: I can calculate the arc length of a sector and the sector's perimeter. Key learning points: - Using fractions, you can calculate part of the circumference. - This gives the length of the curved section of a sector. - To...
Brian McLogan
Learn how to use sum and difference formulas to write as one trigonometric expression
👉 Learn how to write a given sum or difference of two angles formula expression as a single sum/difference of angles trigonometric function. To do this, we first identify the trigonometric function for which its sum/difference formula is...
Brian McLogan
Pre-Calculus - Find All of the Solutions of an Equation Using the Double Angle Formulas
👉 Learn how to use the double angle identities to solve trigonometric equations. When we have equations with a double angle we will apply the identities to create an equation that can help solve by inverse operations or factoring. We...
Brian McLogan
Pre-Calculus - Determine the Double Angle of Sine When Given a Triangle and Restrictions
👉 Learn how to evaluate the double angle of sine. The value of the sine of double a given angle can be obtained given the value of the sine of the angle. The value of the sine of double a given angle is obtained using the formula sin(2u)...
Brian McLogan
How to determine the function and angle given an expression
👉 Learn all about sum and difference angle identities. In this video playlist, you will learn how to evaluate, solve, simplify and verify using sum and difference angle identities. We will evaluate using angles not found on the unit...
Brian McLogan
Pre-Calculus - Evaluating for the Double Angle of Sine with a Triangle
👉 Learn how to evaluate the double angle of sine. The value of the sine of double a given angle can be obtained given the value of the sine of the angle. The value of the sine of double a given angle is obtained using the formula sin(2u)...
Brian McLogan
How to determine the function and angle when given an expression
👉 Learn all about sum and difference angle identities. In this video playlist, you will learn how to evaluate, solve, simplify and verify using sum and difference angle identities. We will evaluate using angles not found on the unit...
Brian McLogan
Double and Half Angle Formulas | Analytic Trig | Pre-Calculus
In this video we will explore how to use the double angle to evaluate trigonometric expressions from triangles as well as angles in degrees and radians. We will then use double angle formulas to help verify trigonometric identities and...
Brian McLogan
Solve an equation using the double angle of sine
👉 Learn how to use the double angle identities to solve trigonometric equations. When we have equations with a double angle we will apply the identities to create an equation that can help solve by inverse operations or factoring. We...
Brian McLogan
Pre-Calculus - Solve an Equation Using the Double Angle Formula of Sine
👉 Learn how to use the double angle identities to solve trigonometric equations. When we have equations with a double angle we will apply the identities to create an equation that can help solve by inverse operations or factoring. We...
Brian McLogan
Half angle of sine given right triangle and constraint
👉 Learn how to evaluate the tangent of a half-angle. When given the value of the tangent of an angle, we can evaluate the tangent of half the angle using the tangent half-angle formula. When the value of any other trigonometric function...
Brian McLogan
Pre-Calculus - Learn How To Evaluate The Double Angle for Sine Given a Triangle
👉 Learn how to evaluate the double angle of sine. The value of the sine of double a given angle can be obtained given the value of the sine of the angle. The value of the sine of double a given angle is obtained using the formula sin(2u)...
Brian McLogan
Write and evaluate expression using sum and difference identities
👉 Learn how to write a given sum or difference of two angles formula expression as a single sum/difference of angles trigonometric function. To do this, we first identify the trigonometric function for which its sum/difference formula is...
Khan Academy
Khan Academy: Trigonometry: Proof: Sin(a+b)=(cos A)(sin B) + (Sin A)(cos B)
Video demonstrating the proof for the formula for the sine of the sum of two angles. Includes link to additional practice problems. [9:48]