Question

13. Verify the identity. sec (-x) sin x = tan x To verify the identity, start with the more complicated side and transform it to look like the other side. Choose transformations and transform the expression at each step. sec (-x) sin x = ___ sin x (1) _ = _ sin x (2) _ = tan x (3) ___ (1) Apply a reciprocal identity. Separate the quotient into two terms. Apply the appropriate even-odd identity. Factor out the greatest common factor. (2) Separate the quotient into two terms. Express in terms of sines and cosines. Apply the appropriate even-odd identity. Factor out the greatest common factor. (3) Apply the appropriate even – odd identity. Divide out the common factor. Apply a Pythagorean identity. Apply a reciprocal identity. Apply a quotient identity.

          13. Verify the identity.
sec (-x) sin x = tan x
To verify the identity, start with the more complicated side and transform it to look like the other side. Choose transformations and transform the expression at each step.
sec (-x) sin x = _____ sin x (1) _____
= _____ sin x (2) _____
= tan x (3) _____
(1) Apply a reciprocal identity.
Separate the quotient into two terms.
Apply the appropriate even-odd identity.
Factor out the greatest common factor.
(2) Separate the quotient into two terms.
Express in terms of sines and cosines.
Apply the appropriate even-odd identity.
Factor out the greatest common factor.
(3) Apply the appropriate even – odd identity. Divide out the common factor.
Apply a Pythagorean identity.
Apply a reciprocal identity.
Apply a quotient identity.

13. Verify the identity.
sec (-x) sin x = tan x
To verify the identity, start with the more complicated side and transform it to look like the other side. Choose transformations and transform the expression at each step.
sec (-x) sin x = sin x (1)
= sin x (2)
= tan x (3)
(1) Apply a reciprocal identity.
Separate the quotient into two terms.
Apply the appropriate even-odd identity.
Factor out the greatest common factor.
(2) Separate the quotient into two terms.
Express in terms of sines and cosines.
Apply the appropriate even-odd identity.
Factor out the greatest common factor.
(3) Apply the appropriate even – odd identity. Divide out the common factor.
Apply a Pythagorean identity.
Apply a reciprocal identity.
Apply a quotient identity.

Added by Elizabeth A.

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