Exact value of trigonometric ratios
Lesson presentations and activities
This worksheet encourages students to become familiar with 'special triangles' to calculate exact trig values without a calculator. By focusing on multiples of 30, 45 and 60, it also helps students spot symmetry in graphs. I created this resources to introduce double angle formula/additonal formula. Answers attached :)
Reviews
dubey3 years ago
Very nicely laid out. Really useful. Thanks
TES Resource Team3 years ago
Thank you for publishing your resource. It has been selected to be featured in a new secondary maths collection.
danwalker3 years ago
Very well thought out and presented.
Foundation tier now requires students to know the exact values in surd form of specific angles.
A simple and clear illustration of how to derive these values, and the values themselves.
Easy to use in the classroom, or print slides for crib sheets for learners.
The specs require:
'•know the exact values of sin θ and cos θ for θ = 0°, 30°, 45°, 60° and 90°
•know the exact value of tan θ for θ = 0°, 30°, 45° and 60 '
Includes a recap of the trig functions and Pythagoras, and the graphs of each function to show values at zero and ninety degrees, plus showing that tan 90 does not exist.
Plus an activity to use the above values in sin and cos sum and difference formulas, giving practice in manipulating surds for higher candidates, and an extension to use the addition and subtraction formula for tangent.
Hence entirely suitable for A'level pure mathematics, and recap of GCSE knowledge and skills.
If you like this, try my big bundle of material on surds for £3. https://www.tes.com/teaching-resource/maths-gcse-working-with-surds-huge-bundle-of-stuff-11551032Reviews
Judy087a year ago
Perfect ! thanks you. Teaching this on ZOOM this evening . Really like this method.
rebeccajarya year ago
Thank you! Exactly what I needed.
naoshinhaque25a year ago
This lesson is for practicing using exact trig values as will be expected in the new GCSE
(it has some harder extension questions available to stretch pupils who require it). There are some quick fire questions to start in order to see who has memorised them and identify the methods that they use. This is after a lesson which focussed on how to find the value (using shapes and the finger method). The codebreaker I have attached is a resource I found on TES and therefore I take no credit for it.Reviews
suzynessa year ago
Thank you for creating this! Really helpful :)
Gimbletrona year ago
Hats off to Miss Brookes for incorporating a clever code-breaker!
Perhaps a couple of questions giving 2 sides to find the angle would be good?dibdab67a year ago
So so so good :)
Full lesson on finding and using the 3 trigonometric ratios that has been added to the new GCSE Maths specification.
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londonsecondary2 years ago
nazish_khaalid3 years ago
Thank you for sharing :)
TES Resource Team3 years ago
Thank you for publishing your resource. It has been selected to be featured in a new secondary maths collection.
PowerPoint and worksheet explaining where special trig ratios come from. I created these for use with my Y11 class who are taking Level 2 Certificate in Further Maths. To print of worksheet, must click 'print to scale'.
Reviews
londonsecondary2 years ago
TES Resource Team3 years ago
Thank you for publishing your resource. It has been selected to be featured in a new secondary maths collection.
anjalehmann4 years ago
Good animated powerpoint with diagrams to introduce how to derive exact trig values. Could easily by adapted to needs.
Practice questions, homeworks and assessments
Just a quick starter/plenary on exact results from trigonometry. The usual lame joke is the answer.
Reviews
kooldude2 months ago
Thank you for sharing.
jglra year ago
TES Resource Team3 years ago
Thank you for publishing your resource. It has been selected to be featured in a new secondary maths collection.
Worksheet which requires students to know the common trig values (sin/cos/tan 0/30/45/60/90) and simplify expressions involving them, giving their answer in simplified surd form. Eg, 12tan30 - 4sin60
Answers included.Reviews
TES Resource Team3 years ago
Thank you for publishing your resource. It has been selected to be featured in a new secondary maths collection.
segeroyal3 years ago
owenelton3 years ago
A handy question sheet with full solutions. Thanks for sharing.
Demonstrates exact trig values ~ includes a boarding card to assess understanding of surds.
The worksheets come from the fabulous http://donsteward.blogspot.co.uk/ and http://www.missbrookesmaths.com/
Reviews
Ninz2 months ago
What a lovely powerpoint to introduce this topic. Clear and concise, and just what I needed.
Katherine Mooney4 months ago
Nice and clear and lots of questions
samantha_jane15 months ago
Wonderful - just what I needed. Wanted to introduce exact values without confusing them with a unit circle. Thanks a lot.
A poster with a table of exact values for sin, cos and tan at 0, 30, 45, 60 and 90 degrees. This could be useful for young people doing higher mathematics in Scotland. Both documents contain the same content.
Reviews
choca2 years ago
larawhitmoree2 years ago
dkite13 years ago
Just what i needed.