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Alex_Xolod [135]
4 years ago
7

Find the missing length indicated.

Mathematics
1 answer:
fredd [130]4 years ago
4 0
The answer to this is 36.
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Step-by-step explanation:

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Select the correct answer from each drop-down menu.
maxonik [38]

Answer:

(b)\\\tan x, \cot x

Step-by-step explanation:

Given

trigonometric function is

\dfrac{\cos 2x-\cos 4x}{\sin 2x+\sin 4x}

Applying trigonometric formulae

\Rightarrow \cos C-\cos D=-\sin (\dfrac{C+D}{2})\sin (\dfrac{C-D}{2})\\\\\Rightarrow \sin C+\sin D=\sin (\dfrac{C+D}{2})\cos (\dfrac{C-D}{2})

\Rightarrow \dfrac{\cos 2x-\cos 4x}{\sin 2x+\sin 4x}=\dfrac{2\sin 3x\cdot \sin x}{2\sin 3x\cdot \cos x}\\\\\Rightarrow \dfrac{\sin x}{\cos x}=\tan x

option (b) is correct

\Rightarrow \dfrac{\cos 2x+\cos 4x}{\sin 2x-\sin 4x}=\dfrac{2\cos 3x\cdot \cos x}{2\cos 3x\cdot \sin (-x)}=-\cot x

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