Trigonometry problems and identities


Questions:

Trigonometry Problems and Identities

1) Use formulas for lower powers to rewrite the expression in terms of the first power of cosine.

a) cos (^4)x
b) (cos (^4)x) (sin (^2)x)
c) cos (^6)x

2) Prove the identity

a) 4 [(sin (^6)x) + (cos (^6)x)] = 4-3(sin (^2)2x)
b) Show that cos100 - cos200 = sin50
c) Show that cos87-cos33 = sin63
d) cot(x+y) = ((cotx)(coty) - 1)/cotx + coty
e) cos (x+y) cos (x-y) = cos (^2)x - sin (^2)y
f) tan (x-y) + (tany-z) + tan (z-x) = tan (x-y) (tany-z) (tanz-x)

Solution Preview :

Prepared by a verified Expert
Mathematics: Trigonometry problems and identities
Reference No:- TGS01939152

Now Priced at $20 (50% Discount)

Recommended (90%)

Rated (4.3/5)