(Solved): Verity the identify. \[ \frac{\sin 6 x+\sin 10 x}{\cos 5 x+\cos 10 x}=\tan (\cos ) \] Start won the ...

Verity the identify. \[ \frac{\sin 6 x+\sin 10 x}{\cos 5 x+\cos 10 x}=\tan (\cos ) \] Start won the numeratoc of the len sios asd apcty the appropriale formunti of sum-to product. \[ \sin 6 x+\sin 10 x= \] (Do nok atripis) ) \[ \cos f x+\cos 10 x=\quad \text { (Do not simplty) } \] Verify the identity. \[ \frac{\sin 6 x+\sin 10 x}{\cos 6 x+\cos 10 x}=\tan (8 x) \] In the numerator and denominator, substitute the expressions found in previous steps, Apply an appropriate identity to simpiry the expressions. (Simplify your answer) The fraction from the previous step then simplifies to \( \tan (8 x) \) using what? Verfy the igenting \[ \frac{\sin 6 x+\sin 10 x}{\cos 6 x+\cos 10 x}=\tan (2 x) \] The fraction thom the previous siep then sirrplfes to tan (ax) taing what? A: Even-Odd identey. B. Pypaagorean igenty c. Recoprocal idenxry D. Cuotient lentary