Mathematics: Prove the identity. secx- cos x = sin x tan x

Prove the identity. secx- cos x = sin x tan x

Ответ:

Sadude69

20.01.2022

Mathematics

LHS = RHS

Step-by-step explanation:

$\sec(x) - \cos(x) \\ = \frac{1}{ \cos(x) } - \cos(x) \\ = \frac{1 - { \cos(x) }^{2} }{ \cos(x) }$

Since

${ \sin(x) }^{2} + { \cos(x) }^{2} = 1 \\ 1 - { \cos(x) }^{2} = { \sin(x) }^{2}$

Therefore,

$\frac{1 - \ { \cos(x) }^{2} }{ \cos(x) } \\ = \frac{ { \sin(x) }^{2} }{ \cos(x) } \\ = \frac{ \sin(x ) \times \sin(x) }{ \cos(x) } \\ = \sin(x) \tan(x)$

Therefore LHS = RHS

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Ответ:

bbygxo226

20.05.2022

Mathematics

Identifying at least one confounding variable that undermines the conclusion drawn in the fictional study is:

All students took the same comprehensive test.

Step-by-step explanation:

In a study, an independent variable causes an effect on the dependent variable. But a confounding variable is the variable that influences the independent variable as well as the dependent variable. If this third variable is not controlled, it might lead the researcher to make a wrong estimate of the relationship that exists between the independent variable and the dependent variable.

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Prove the identity.
secx- cos x = sin x tan x

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