Applying and Analysing Trigonometric Functions

Simplify:

$$\tan\ x\ \cot x\ -\cos^2x$$  

Which expression is equivalent to the trigonometric expression $$\frac{1-\sin^2\left(\theta\right)}{\cos\left(\theta\right)}$$  ?

F(x) = Asin[B(x-C)] + D is the standard form. A is the Amplitude B helps you find the period, B=2pi/period C is the phase shift D is the vertical shift Then f(x) = 2Sin(3x + 1) + 4

For y=7sin(6(x-8))+9, What is the value of A, B , C, and D?

y=Asin(B(x-C))+D is the standard form. A is the Amplitude B helps you find the period, B=2pi/period C is the phase shift D is the midline (vertical shift) For y=7sin(6(x-8))+9,

Sin is related to ​ (a)   , cos is related to ​ (b)   , and tangent is related to ​ (c)  

cos x

cos²(w) - cos(w)sec(w)