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Mathematics Education

Proving Trig Identities practice question 2

By Magic Monk on Wednesday, October 24, 2018

In this tutorial we give you a practice question on proving trig identities. The question is: Prove that (1-sinx)/(1+sinx)=(secx-tanx)^2. Have a go then come and see the answer! p.s. Need to remember how to factorise and expand binomials 🙂

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Mathematics Education

Proving Trig Identities practice question 1

By Magic Monk on Tuesday, October 23, 2018

In this tutorial we give you a practice question on proving trig identities. The question is: Prove that (cot^2(x)-1)/(cot^2(x)+1) = 1-2sin^2(x). Have a go then come and see the answer!

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Mathematics Education

Pythagorean Trig Identity proofs

By Magic Monk on Monday, October 22, 2018

In this tutorial we talk about some more Trig identity proofs, including: tan(x) = sin(x) / cos(x) sin^2(x) + cos^2(x) = 1 tan^2(x) + 1 = sec^2(x) cot^2(x) + 1 = cosec^2(x)

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Mathematics Education

Trig identity proofs: cos(A+B) = cosAcosB – sinAsinB

By Magic Monk on Sunday, October 21, 2018

In this series of videos I will prove every single trigonometric identity. If you have any that you want to see the proof of, feel free to e-mail me. I suggest starting from the beginning so if you are stuck watching this video, go back to some earlier ones (e.g. the proof of sin(A+B))

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Mathematics Education

Trig identity proofs: sin(A+B) = sinAcosB + cosAsinB

By Magic Monk on Sunday, October 21, 2018

In this video I present this proof in the smallest steps possible. All you need to know to understand this are the basic trig rules sin(theta)=opposite/hypotenuse etc.

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Mathematics Education

Trigonometry lesson 16 – Solving trigonometric equations using exact values

By Magic Monk on Saturday, October 20, 2018

In this lesson we solve more trigonometric equations, this time using exact values (without a calculator). Must be good with fractions to do this!

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Mathematics Education

Trigonometry lesson 15 – Solving trigonometric equations

By Magic Monk on Saturday, October 20, 2018

In this tutorial we start talking about solving trigonometric equations such as sin(x)=0.5 where x can have multiple answers depending on its domain.

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Mathematics Education

Trigonometry lesson 14 – radians, exact values, symmetry

By Magic Monk on Thursday, October 18, 2018

In this lesson we use a combination of techniques that you have learned in previous lessons to find the exact values of trigonometric ratios for angles larger than 90 degrees.

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Mathematics Education

Trigonometry lesson 13 – Symmetry

By Magic Monk on Wednesday, October 17, 2018

We talk about how to find the values of sin, cos and tan in quadrants 2, 3 or 4, given the value of sin, cos or tan in the first quadrant. e.g. sin(150 degrees)=sin(30 degrees).

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Mathematics Education

Trigonometry lesson 12 – exact values

By Magic Monk on Tuesday, October 16, 2018

In this lesson you learn how to express trigonometric ratios as exact values. For example, instead of typing cos30 in the calculator to get 0.866, after doing this tutorial you will be able to write cos30 = sqrt(3)/2 without using the calculator.

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