Finding unknown sides/angles in right-angled triangles.  6 different combinations of unknowns are included in this single question. Makes my previous questions redundant

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Find the dot product and the angle between two vectors

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Finding unknown sides/angles in right-angled triangles.

Version 1: b,c known

Version 2: a,x known

Version 3: a,y known

Version 4: b,x known

Version 5: b,a known

Version 6: c,a known

An example of using the GeoGebra extension to ask the student to create a geometric construction, with marking and steps.

An example of using the GeoGebra extension to ask the student to create a geometric construction, with marking and steps.

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Solve a random oblique triangle for sides and angles.

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Find the $x$ and $y$ components of a force which is applied at an angle to a particle. Resolve using $F \cos \theta$. The force acts in the positive $x$ and positive $y$ direction.

Find the $x$ and $y$ components of a force which is applied at an angle to a particle. Resolve using $F \cos \theta$. The force is applied in the negative $x$ and negative $y$ direction.

Find the $x$ and $y$ components of a force which is applied at an angle to a particle. Resolve using $F \cos \theta$. The force is applied in the negative $x$ direction but the positive $y$. 

Find the $x$ and $y$ components of the resultant force on an object, when multiple forces are applied at different angles.

Another example of finding the $x$ and $y$ components when multiple forces are applied at different angles to a particle.

Finding the lengths and angles within a right-angled triangle using: pythagoras theorem, SOHCAHTOA and principle of angles adding up to 180 degrees.

Convert from degrees to radians

Convert from radians to degrees

testing sin, cos, tan of angles that are negative or greater than 2pi radians that result in nice exact values. 

multiple choice testing sin, cos, tan of angles that are negative or greater than 360 degrees that result in nice exact values. 

An example of using the GeoGebra extension to ask the student to create a geometric construction, with marking and steps.

Given vectors  $\boldsymbol{v,\;w}$, find the angle between them.

Draws a triangle based on 3 side lengths.

Draws a triangle based on 2 angles and a side length.