Question

prove that: tan(55+x)=cos(55-x)

Answer 1

Answer on Question#41719 - Math - Trigonometry

Question:

Prove that: $\tan (55 + x) = \cos (55 - x)$

Solution:

Check this equality for $x = 0$

$$\tan (5 5 {}^ {\circ} + 0 {}^ {\circ}) = \cos (5 5 {}^ {\circ} - 0 {}^ {\circ})$$ $$\tan 5 5 {}^ {\circ} = \cos 5 5 {}^ {\circ}$$ $$\tan 5 5 {}^ {\circ} = 1. 4 2 8 1$$ $$\cos 5 5 {}^ {\circ} = 0. 5 7 3 6$$ $$1. 4 2 8 1 \neq 0. 5 7 3 6$$

Equality doesn't correct for $x = 0$ , therefore this is not equality. So this cannot be proved.

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