Mathematics MATH 15400 Quiz: 15400Quiz7BSpring2018-1 (1)

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

write the following as a product of trigonometric functions 8)si喑.sin 4 A)2cos 188 cos 88 Objgclive (2) Use product-to-sum and sum-to-proxduct iklentities B)2sin D) 2 sin 88 sin cos Find the exact value by using a half-angle identity 9) sin 22.5 A) Objective (3) Use half-angle identitis Use an identity to write the expression as a single trigonometric function or as a single number 10) , 1-cos62。 D) sin 31° A) cos 31 Objextive: (3) Use half-angle identities B) cot 31 C) tan 31 Solve the equation for exact solutions. 11)600s-1 x=π A) B)得喎呣 Objective: (7.7) Solve Inverse Trigonometric EquationI Find the exact value of the real number y 12) y = arcsec (-1) A) 2π B) C) 0 D)π Objective: (1) Find inverse function values. Find the missing parts of the triangle. If necessary, round angles to the nearest degree and give exact values of side lengths A) B = 90", C-60", b=4,0 C)B-60°, C = 90, b-4 B)B=60, C-9, b = 413 D) no such triangle Objective (3) Find unknown angles using the law of sines