Question

Can anyone help me with these math problems?

Answer 1

Sure.  I'm not sure if I like the computer aided instruction.

$\dfrac{\tan A}{\sec A} = \dfrac{ \sin A / \cos A }{1 / \cos A} = \dfrac{\sin A \cos A}{\cos A} = \sin A$

so in the first block they want sin A and in the second block sin A cos A

Show

$\sec \theta \cot \theta \sin \theta =1$

Proof,

$\sec \theta \cot \theta \sin \theta =\dfrac{1}{\cos \theta} \cdot \dfrac{\cos \theta}{\sin \theta} \cdot \sin \theta = 1$

Looks like the box is cos θ