# six trigomonetric functions

7.1

#2. if cos (theta) = -.65, then cos(-theta) = _______

#8. find sin (theta), cot (theta) = -(1/3), (theta) in quadrant IV

#26 find the remaining five trigonometric functions of (theta), cos (theta) = (1/5), (theta) in quadrant I

#56 write each expression in terms of sine and cosine, and simplify so that no quotients appear in the final expression, cot^2(theta)(1+tan^2(theta))

7.2

#2 perform each indicated operation and simplify the result,

(sec x/csc x) + (csc x/sec x)

#18 factor each trigonometric expression, 4tan^2(beta) + tan(beta)-3

#26 each expression simplifies to a constant, a single function, or a power of a function. use fundamental identities to simplify each expression, cot t tan t

#46 verify that each trigonometric equation is an identity,

(cos(theta))/(sin(theta) cot(theta))=1

#68 verify that each trigonometric equation is an identity,

sin(theta)+cos(theta)=(sin(theta))/(1-(cos(theta)/sin(theta)))+(cos(theta))/(1-(sin(theta)/cos(theta)))

#84 graph each expression on each side of the equals symbol to determine whether the equation might be an identity. use a domain whose length is at least 2Ï?. if the equation looks like an identity, verify it algebraically.

1+cot^2(x)+(sec^2(x))/(sec^2(x)-1)

7.3

#6 use identities to find each exact value, cos(-15degrees)

#72 write each expression as a function of x or (theta), with no angle of measure involved. tan((Ï?/4)+x)

#106 verify that each equation is an identity.

((sin(s+t))/(cos s cos t))=tan s + tan t

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#### Solution Summary

This post shows writing the fractions with a common denominator.