Question

Simplify: 7 sin(0) sec (0)

A. 7cot(0)
B. 7cos(0)
C. 7tan(0)
D. 7
The zero is the theta symbol

Answer 1

7tanθ

Explanation:

Follow the identity:

`\displaystyle{\sec \theta = (1)/(\cos \theta)}\\\\\displaystyle{\tan \theta = (\sin \theta)/(\cos \theta)}`

Therefore, by the expression:

`\displaystyle{7\sin \theta \cdot (1)/(\cos \theta) =7(\sin \theta)/(\cos \theta)}\\\\\displaystyle{= 7\tan \theta}`