If secant alpha equals StartFraction 17 Over 8 EndFractionsecα=178​, 00less than<alphaαless than<StartFraction pi Over 2 EndFractionπ2​, then find the exact value of each of the following.   a. sine StartFraction alpha Over 2 EndFractionsinα2           b. cosine StartFraction alpha Over 2 EndFractioncosα2           c. tangent StartFraction alpha Over 2 EndFractiontanα2       Question content area bottom Part 1 a. sine StartFraction alpha Over 2 EndFractionsinα2equals=enter your response here ​(Simplify your​ answer, including any radicals. Use integers or fractions for any numbers in the expression. Rationalize the​ denominator.) Part 2 b. cosine StartFraction alpha Over 2 EndFractioncosα2equals=enter your response here ​(Simplify your​ answer, including any radicals. Use integers or fractions for any numbers in the expression. Rationalize the​ denominator.) Part 3 c. tangent StartFraction alpha Over 2 EndFractiontanα2equals=enter your response here ​(Simplify your​ answer, including any radicals. Use integers or fractions for any numbers in the expression. Rationalize the​ denominator.)

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.3: The Addition And Subtraction Formulas
Problem 72E
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Question
If
secant alpha equals StartFraction 17 Over 8 EndFractionsecα=178​,
00less than<alphaαless than<StartFraction pi Over 2 EndFractionπ2​,
then find the exact value of each of the following.
 
a.
sine StartFraction alpha Over 2 EndFractionsinα2          
b.
cosine StartFraction alpha Over 2 EndFractioncosα2          
c. tangent StartFraction alpha Over 2 EndFractiontanα2
 
 
 

Question content area bottom

Part 1
a.
sine StartFraction alpha Over 2 EndFractionsinα2equals=enter your response here
​(Simplify your​ answer, including any radicals. Use integers or fractions for any numbers in the expression. Rationalize the​ denominator.)
Part 2
b.
cosine StartFraction alpha Over 2 EndFractioncosα2equals=enter your response here
​(Simplify your​ answer, including any radicals. Use integers or fractions for any numbers in the expression. Rationalize the​ denominator.)
Part 3
c.
tangent StartFraction alpha Over 2 EndFractiontanα2equals=enter your response here
​(Simplify your​ answer, including any radicals. Use integers or fractions for any numbers in the expression. Rationalize the​ denominator.)
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