Simplifying Quizlet tan x csc x cos x

Understand Identities: Understand the trigonometric identities involved. The trigonometric identities that we need to know for this problem are: 1. tan x = sin x / cos x 2. csc x = 1 / sin x We will use these identities to simplify the expression.Substitute Identities: Substitute the identities into the expression. tan x csc x cos x = (sin x / cos x) * (1 / sin x) * cos xSimplify Expression: Simplify the expression by canceling out terms. (sin x / cos x) * (1 / sin x) * cos x = (sin x * 1 * cos x) / (cos x * sin x) = 1 The sin x and cos x terms cancel out because they appear in both the numerator and the denominator.

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Simplify $\newline$ $\tan x \csc x \cos x$

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Math Problems

Grade 7

Add and subtract like terms: with exponents

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Q. Simplify

\newline

\tan x \csc x \cos x

Understand Identities: Understand the trigonometric identities involved. $\newline$ The trigonometric identities that we need to know for this problem are: $\newline$ $1$ . $\tan x = \frac{\sin x}{\cos x}$ $\newline$ $2$ . $\csc x = \frac{1}{\sin x}$ $\newline$ We will use these identities to simplify the expression.
Substitute Identities: Substitute the identities into the expression. $\tan x \csc x \cos x = (\sin x / \cos x) * (1 / \sin x) * \cos x$
Simplify Expression: Simplify the expression by canceling out terms. $\newline$ $(\sin x / \cos x) * (1 / \sin x) * \cos x = (\sin x * 1 * \cos x) / (\cos x * \sin x)$ $\newline$ $= 1$ $\newline$ The $\sin x$ and $\cos x$ terms cancel out because they appear in both the numerator and the denominator.