162 Use the sin cos tan sin1 cos1 and tan1 keys on your calc

16.2. Use the sin, cos, tan, sin-1, cos-1, and tan-1 keys on your calculator to find the following Show your work. Write your answers to three significant digits a. sec 3.5 b. cot(-55°) C. CSc 15° d. cot 1 1.2. Give your answer in degrees e. csc-1(-0.2). Give your answer in radians. f. sec1(-5). Give your answer in degrees. 16.3. Find the exact value of the following. a. cos (cos-1(-2) b, cos-1 (cos (-11 16.4. Find the exact value of sin (cot 12) 16.5. Write the following triginometric expression as an algebraic expression 2t -1 cos csc (We must assume that t > 1 so that this expression is defined.)

Solution

multiple questions posted.please post each question seperately

16.2)

a)

sec3.5=1_/cos3.5

sec3.5 =-1.067855

sec3.5 =-1.07

b)

cot(-55^o) =1_/tan(-55^o)

cot(-55^o) =-1_/tan(55^o)

cot(-55^o) =-0.700

c)

csc15^o=1_/sin15^o

csc15^o=3.86

d)

cot^-1(1.2)=tan^-1(1_/1.2)

cot^-1(1.2)=tan^-1(5_/6)

cot^-1(1.2)=39.8^o

e)

csc^-1(-0.2) =sin^-1(-1_/0.2)

csc^-1(-0.2) =sin^-1(-5)

no solution

f)

sec^-1(-5)=cos^-1(-1_/5)

sec^-1(-5)=cos^-1(-0.2)

sec^-1(-5)=180^o-cos^-1(0.2)

sec^-1(-5)=180^o-78.463^o

sec^-1(-5)=101.537^o

sec^-1(-5)=101.5^o

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16.3)

a)cos(cos^-1(-2_/2)) =-2_/2

b)

cos^-1(cos (-11_/6))=cos^-1(3_/2)

cos^-1(cos (-11_/6))=_/6

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