Answer:
You can try a picture memory method to help students
An example write down notes of what the triangle laws are for angles.
Then interpret them into your picture measurement theory.
Example could be the perpendicular measures of a right angle can be used
to find an area would be the M but as we are finding angles we could use the Big A instead of degrees sign.
We could provide pictures of cars to represent trigonometry
Where back wheels opposite angles and sides from slant are both the unit measure used in Side/sin( A) x sin (B) so this way you label the car wheel angle above of the square boot 'side on' and this angle is A
The B is the one above it linking the slant to find the other measure.
You are asked to design a theme around measuring angles so you need to look at other sin cos and tan calculus to design a picture that can create an image like i've given to find slant.
You need to one that finds angles.
However if you do find a car can help you can always call it square boot as in square root, considering 2/3 of sin cos and tan are square root measures.
Step-by-step explanation:
See the attached ideas and trigonometry
Picture memory Trigonometry
Picture 1. Sunrise Ah side looks for side measure.
The number above is the hypotenuse
A/H = cos ( ) x hyp =base A/H = cos ( ) x hyp = side
Picture 2.Sunrise Soh looks for side measure.
The number above it is the hypotenuse
O/H = sin ( ) =p (for product) take the p x hyp.
Picture 3 Sunrise Toast (Toa) looks for side measure = O/A
Tan ( lower angle ) x base = side
Picture 4 Side of car (Soh) with window as hypotenuse.
Two wheels are the 2 angles given and the back seat is perpendicular to both wheels =
so the triangle structure looks like this /00|7
so you type in 7/sin ( 1st wheel) x (2nd wheel) = hypotenuse.
Both angles given or worked out this is when this is used.
Picture 5 Electric mast looking for slope SIN =S/P = O/A
Angle at top
We have the side at 70 and looking for the slope
Sin( top angle) = p then side/p = hyp
Picture 6
Top angle and base given creates a T this means half both of them before dividing.
To find hypotenuse
Half = 1/2 base / sin (1/2) = hypotenuse
Picture 7
Top angle and base given creates a T this means half both of them before dividing.
To find height =
Half = 1/2 base /Tan 1/2) = Triangle height.
Key checker after pictures are drawn is;
sunrise = low angle x side or low angle x base = hypotenuse.
car = backseat x wheels = hypotenuse always remember when car on side the first
wheel first, second wheel 2nd first in the calculator. The wheels are the 2 angles that
make the car when flipped.
Half = 1/2 base / sin (1/2) = hypotenuse
Half = 1/2 base / tan (1/2) = height
Just take care with top angle and lower angle key words in the drawing descriptions and then the pictures will help.
