Algebraic manipulations with trig identi

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Algebraic manipulations with trig identities : 

Algebraic manipulations with trig identities

Slide 2: 

Simplify. cos x (tan x – sec x) cos x tan x – cos x sec x Use the distributive property. Replace any trig function that is not sine or cosine with an identity. Use algebra to simplify. sin x - 1

Slide 3: 

Simplify. (sin x + cos x)(sec x + csc x) sin x sec x + sin x csc x + cos x sec x + cos x csc x Tan x + 2 + cot x Use FOIL Replace trig functions with identities. Simplify.

Slide 4: 

Simplify. sin2 x cos2 x + cos4 x cos2 x (sin2 x + cos2 x) cos2 x (1) cos2 x Factor (GCF). Replace with identities(Pythagorean Identity). Simplify.

Slide 5: 

Simplify. sin (90 – x) (sec x – cos x) cos x (sec x – cos x) cos x sec x – cos2 x 1 – cos2 x Use a cofunction identity. Use Distributive Property. Replace with identities. Simplify.

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