katelynnshayn14 Posts: 1, Reputation: 1 New Member #1 Nov 1, 2012, 02:33 PM
Trigonometry Proofs
Can you please solve these 3 trig proofs for me.

sec=sin(cot+tan)

(sec)(cot)-cot=tan

sin^2-sin^4=cos^2-cos^4
 ebaines Posts: 12,132, Reputation: 1307 Expert #2 Nov 1, 2012, 06:57 PM
In each case start by changing the cotangent secant, and tangent functions to their sine and cosine equivalents. Then it's simply a matter of manipulating the terms, and applying the well-known identity sin^2x + cos^2x = 1. One correction though - the second identity is written incorrectly, it should be: (sec^2x) (cot x) - cot x = tan x.

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