Secondary maths collection
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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
UmmSumayyaa3 years ago
Lovely pictorial intro to exact trig values. Thank you.
kooldude3 years ago
Nice way to introduce trig graphs
dubey6 years ago
Very nicely laid out. Really useful. Thanks
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
TeasMad3 years ago
Nice resource, would have given 4* but there's an error on the Word doc for cos 30°. The PDF is fine, you could replace the Word image with a screen clip from the PDF to fix it. Would be even nicer if all the angles could have degree symbols ;) The questions showed up fine for me thanks (but probably on an older version of PP).
hlcwilson3 years ago
Questions do not show
Judy0875 years ago
Perfect ! thanks you. Teaching this on ZOOM this evening . Really like this method.
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
londonsecondary5 years ago
TES Resource Team7 years ago
Thank you for publishing your resource. It has been selected to be featured in a new secondary maths collection.
anjalehmann8 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
kooldude4 years ago
Thank you for sharing.
jglr5 years ago
TES Resource Team7 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 Team7 years ago
Thank you for publishing your resource. It has been selected to be featured in a new secondary maths collection.
segeroyal7 years ago
owenelton7 years ago
A handy question sheet with full solutions. Thanks for sharing.