Simplify the following expressions by writing each one using a single trigonometric function.

 

nental identities to simplify the expressi tan θ cot θ A) tan20 Objective 2) Simplity Trigonometric Espressin I B) cos3e C) sec2e D) sin θ Perform the indicated 2)sec 0-sec θ operations and simplify the result so there are no quotients. A)sin θ tan θ btive () Perform operations with trigonometric expressions and simplify the results. B) -2 tan20 C)1+cot θ se an appropriate identity to find the exact value of the expression. 3) sin (165) A)266-1 B) 203+1 3-1 C) D) Okyes tive、(73) Find Exact Value of Expression (Degrees) se the cofunction identities to find an angle 0 that makes the statement true. 4)sin (30-17°) = cos (θ + 43°) A) θ-16" Obpective. (7.3) Use Cofunction Identities to Find Angle B)θ=90° C0-10 D) θ = 60 e an identity to write the expression as a single trigonometric function or as a single number 5) 2 cos2 22.5-1 A) V3 1 2 C) 业 D) Objective: (1) Use double-angle identities. identities to find the indicated value for each angle measure. 21 29 6)sin θ cos θ >0 Find cos(20). 41 841 A) B) C) D) 841 841 841 Objective: (1) Use double-angle identities. the product as a sum or difference of trigonometric functions. 7) cos 38° sin 23° A) cos 61°-cos 15°) B) cos 61°+cos 15) C) sin 61° + sin 15°) D) (sin 61-sin 15") Obiective (2) Use product-to-sum and sum-to-product identities

Match each of the trigonometric expressions below with the equivalent non-trigonometric function from the following list. Enter the appropriate letter (A,B,C,D, or E) in each blank.A. tan(arcsin(x/8)) B. cos(arcsin(x/8)) C. (1/2)sin(2arcsin(x/8)) D. sin(arctan(x/8)) E. cos(arctan(x/8)) 1. displaystyle frac{x}{sqrt{64 + x^2}} 2. displaystyle frac{sqrt{64 - x^2}}{8} 3. displaystyle frac{x}{64}sqrt{64 - x^2} 4. displaystyle frac{x}{sqrt{64 - x^2}} 5. displaystyle frac{8}{sqrt{64 + x^2}}

(1 point) Match each of the trigonometric expressions below with the equivalent non- trigonometric function from the following list. Enter the appropriate letter (A,B,C,D, or E) in each blank. A. tan (9) where x 3 sin θ B. cos (9) where x = 3 sin θ C. (1 /2) sin(20) where x = 3 sin θ D. Sin(9) where x 3 tan θ E. cos(9) where x = 3 tan θ 2 9 -x2 9 + x