Solve a random oblique triangle for sides and angles.

Find $\displaystyle \int (ax+b)\cos(cx+d)\; dx $

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 $y$. 

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Use Sine rule and Cosine rule to solve a Geometry problem in geology.

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

testing sin, cos, tan of  random(0,90,120,135,150,180,210,225,240,270,300,315,330) degrees but in radians

multiple choice testing sin, cos, tan of  random(0,90,120,135,150,180,210,225,240,270,300,315,330) degrees

Unit circle definition of sin, cos, tan using degrees

multiple choice testing sin, cos, tan of  random(pi/6, pi/4, pi/3) radians

multiple choice testing sin, cos, tan of  random(30, 45, 60) degrees

Use $\cos^2\theta+\sin^2\theta=1$ and/or an understanding on the unit circle definitions to determine $\cos\theta$ given $\sin\theta$ and the quadrant theta is in.

Use $\cos^2\theta+\sin^2\theta=1$ and/or an understanding on the unit circle definitions to determine $\sin\theta$ given $\cos\theta$ and the quadrant theta is in.

Using $\cos^2\theta+\sin^2\theta=1$ to evaluate expressions.

Unit circle definition of sin, cos, tan using degrees

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

Draws a triangle based on 3 side lengths.

Find the solution of a first order separable differential equation of the form $a\sin(x)y'=by\cos(x)$.

Find $\displaystyle \frac{d}{dx}\left(\frac{m\sin(ax)+n\cos(ax)}{b\sin(ax)+c\cos(ax)}\right)$. Three part question.

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.

Using the reduction formulas for products of powers or sin and cosine

Solve a random oblique triangle for sides and angles.

Solve a random oblique triangle for sides and angles.

Find $\displaystyle \frac{d}{dx}\left(\frac{m\sin(ax)+n\cos(ax)}{b\sin(ax)+c\cos(ax)}\right)$. Three part question.

Differentiation of  polynomials, cos, sin, exp, log functions. Product, quotient and chain rules.

Missing: Application with bacteria, turning points, difficult chain rule

Differentiation of  polynomials, cos, sin, exp, log functions. Product, quotient and chain rules.

Missing: Application with bacteria, turning points, difficult chain rule

Find $\displaystyle \int x\sin(cx+d)\;dx,\;\;\int x\cos(cx+d)\;dx $ and hence $\displaystyle \int ax\sin(cx+d)+bx\cos(cx+d)\;dx$