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Step-by-step Solution

Prove the trigonometric identity $\frac{\cos\left(45\right)\tan\left(45\right)+\sin\left(45\right)}{\tan\left(45\right)}=2\cos\left(45\right)$

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Answer

false

Step-by-step explanation

Problem to solve:

$\frac{\cos\left(45\right)\cdot \tan\left(45\right)+\sin\left(45\right)}{\tan\left(45\right)}=2\cos\left(45\right)$
1

Calculating the sine of $45$ degrees

$\frac{\cos\left(45\right)\tan\left(45\right)+0.85}{\tan\left(45\right)}=2\cos\left(45\right)$
2

Calculating the cosine of $45$ degrees

$\frac{0.5333\tan\left(45\right)+0.85}{\tan\left(45\right)}=2\cdot 0.5333$

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Answer

false
$\frac{\cos\left(45\right)\cdot \tan\left(45\right)+\sin\left(45\right)}{\tan\left(45\right)}=2\cos\left(45\right)$

Main topic:

Trigonometric identities

Time to solve it:

~ 0.41 seconds