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What is the exact value of sin(cos^−1(−2√2))+tan^−1(sin(π/2))?

 

A)−2√2−π

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   4

 

B)−2√2+π

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   4

 

C)2√2−π

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   4

 

D)2√2+π

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   4

 Mar 5, 2020
 #1
avatar+21874 
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cos-1( -2·sqrt(2) )  does not exist.

 Mar 5, 2020
 #2
avatar+25917 
+1

What is the exact value of sin(cos^−1(−sqrt2/2))+tan^−1(sin(π/2))?

 

cos^-1  (-sqrt2/2)     =   3 pi/4   (or possibly 5 pi/4 I will use the first)        sin 3pi/4  = + sqrt2/2

 

sin pi/2 = 1

tan^-1 (1) = pi/4

 

sqrt2 / 2   + pi/4     = (2 sqrt2 + pi)/4

 Mar 5, 2020
edited by ElectricPavlov  Mar 5, 2020
edited by ElectricPavlov  Mar 5, 2020
edited by ElectricPavlov  Mar 5, 2020
 #3
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0

Sorry I fixed the question is "What is the exact value of sin(cos^−1(-√2/2))+tan^−1(sin(π/2))?

 Mar 5, 2020

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