3 years ago

What’s a good definition of a central angle using inscribed angle in it?

1 answer:

8 0

In summary, the central angle in a circle is the angle formed by two radius lines. An inscribed angle is the angle formed by points on the circle's circumference. There are a few key things to know about central and inscribed angles.

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Which basic trigonometric identity would you use to verify that tan x cos x =sin x

True [87]

Answer:

$\huge\boxed{\tan x=\dfrac{\sin x}{\cos x}}$

Step-by-step explanation:

$\tan x\cos x=\sin x\\\\\tan x=\dfrac{\sin x}{\cos x}\\\\\text{Therefore}\\\\\tan x\cos x=\dfrac{\sin x}{\cos x}\cdot\cos x\qquad\text{cancel}\ \cos x\\\\\tan x\cos x=\sin x\\\\\text{For}\ x\neq\dfrac{\pi}{2}+k\pi},\ k\in\mathbb{Z}$