Find the value of trigonometric function of t from given information.

Expert Solution & Answer

Answer to Problem 65E

$sint=PH=35 cosect=HP=53cost=BH=−45 sect=HB=−54tant=PB=−34 cott=BP=−43$

Explanation of Solution

Given information:

$sint=35, t is in II quadrant$

Formula used:

$sint=Perpendicular(P)Hypothuse(H),cost=Base(B)Hypothuse(H),tant=Perpendicular(P)Base(B)cosect=Hypothuse(H)Perpendicular(P),sect=Hypothuse(H)Base(B),cott=Base(B)Perpendicular(P)Pythagoras theorem:Hypothenus2=Perpendicular2+Base2$

$sint=PerpendicularHypothenuse=35$

By using Pythagoras theorem, we will find Base:

$Hypothenus2=Perpendicular2+Base2$

$(5)2=(3)2+Base225=9+Base2Base2=25−9Base2=16Base=4$

Since, the given terminal point t is in $II quadrant$ , So, only $sint,cosect$ will be positive and all other function will be negative:

$sint=PH=35 cosect=HP=53cost=BH=−45 sect=HB=−54tant=PB=−34 cott=BP=−43$

Chapter 5.2, Problem 64E

Chapter 5.2, Problem 66E

Chapter 5 Solutions

Precalculus: Mathematics for Calculus - 6th Edition

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