Mathematics: Verify the identity. sec(x) − cos(x) = tan(x) sin(x)

Verify the identity. sec(x) − cos(x) = tan(x)

Ответ:

pearlkissp1bzl8

07.01.2022

$\bf sec(x) -cos(x) = tan(x) sin(x)\\\\
-----------------------------\\\\
sec(\theta)=\cfrac{1}{cos(\theta)}\\\\
-----------------------------\\\\
thus
\\\\\\
\cfrac{1}{cos(x)}-cos(x)\implies \cfrac{1-cos^2(x)}{cos(x)}\\\\
-----------------------------\\\\
recall\implies sin^2(\theta)+cos^2(\theta)=1\implies sin^2(\theta)=1-cos^2(\theta)\\\\
-----------------------------\\\\
\cfrac{sin^2(x)}{cos(x)}\implies \cfrac{sin(x)}{cos(x)}\cdot sin(x)\implies tan(x)sin(x)$

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Ответ:

conyers234

06.08.2022

Mathematics

Step-by-step explanation:

For simple interest, the equation is I = PRT, where I is the interest, P is the principal/amount invested, R is the rate as a decimal, not percentage, and T is time in years.

641.28 = (4008)(r)(4)

641.28 = 16,032r

r = 0.04 = 4%

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Verify the identity.
sec(x) − cos(x) = tan(x) sin(x)

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