PRECALCULUS W/LIMITS:GRAPH.APPROACH(HS)
PRECALCULUS W/LIMITS:GRAPH.APPROACH(HS)
8th Edition
ISBN: 9781337904285
Author: Larson
Publisher: CENGAGE L
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Chapter 5.5, Problem 62E
To determine

To find:The exact values of the sinu2 , cosu2 and tanu2 using half-angle formula when secu=72 and 0<u<π2 .

Expert Solution & Answer
Check Mark

Answer to Problem 62E

The exact values of the sinu2 , cosu2 and tanu2 are 514 , 31414 and 53 , respectively.

Explanation of Solution

Given information:

  secu=72 and 0<u<π2 .

Calculation:

Let the given value is secu=72 . The angle is u and it ranges from 0 to π2 .

The value of cosu is calculated as,

  cosu=27

The value of sinu is calculated as,

  sinu=72227=457=357

Write the expression to calculate the value of sinu2 .

  sinu2=1cosu2

Substitute 27 for cosu in the above equation.

  sinu2=1272=7214=514

Write the expression to calculate the value of cosu2 .

  cosu2=1+cosu2

Substitute 27 for cosu in the above equation.

  cosu2=1+272=914=31414

Similarly, write the expression to calculate the value of tanu2 .

  tanu2=1cosu2sinu2

Substitute 357 for sinu2 and 27 for cosu2 in the above equation.

  tanu2=1(27)(357)=535=53

Therefore, the exact values of the sinu2 , cosu2 and tanu2 are 514 , 31414 and 53 , respectively.

Chapter 5 Solutions

PRECALCULUS W/LIMITS:GRAPH.APPROACH(HS)

Ch. 5.1 - Prob. 11ECh. 5.1 - Prob. 12ECh. 5.1 - Prob. 13ECh. 5.1 - Prob. 14ECh. 5.1 - Prob. 15ECh. 5.1 - Prob. 16ECh. 5.1 - Prob. 17ECh. 5.1 - Prob. 18ECh. 5.1 - Prob. 19ECh. 5.1 - Prob. 20ECh. 5.1 - Prob. 21ECh. 5.1 - Prob. 22ECh. 5.1 - Prob. 23ECh. 5.1 - Prob. 24ECh. 5.1 - Prob. 25ECh. 5.1 - Prob. 26ECh. 5.1 - Prob. 27ECh. 5.1 - Prob. 28ECh. 5.1 - Prob. 29ECh. 5.1 - Prob. 30ECh. 5.1 - Prob. 31ECh. 5.1 - Prob. 32ECh. 5.1 - Prob. 33ECh. 5.1 - Prob. 34ECh. 5.1 - Prob. 35ECh. 5.1 - Prob. 36ECh. 5.1 - Prob. 37ECh. 5.1 - Prob. 38ECh. 5.1 - Prob. 39ECh. 5.1 - Prob. 40ECh. 5.1 - Prob. 41ECh. 5.1 - Prob. 42ECh. 5.1 - Prob. 43ECh. 5.1 - Prob. 44ECh. 5.1 - Prob. 45ECh. 5.1 - Prob. 46ECh. 5.1 - Prob. 47ECh. 5.1 - Prob. 48ECh. 5.1 - Prob. 49ECh. 5.1 - Prob. 50ECh. 5.1 - Prob. 51ECh. 5.1 - Prob. 52ECh. 5.1 - Prob. 53ECh. 5.1 - Prob. 54ECh. 5.1 - Prob. 55ECh. 5.1 - Prob. 56ECh. 5.1 - Prob. 57ECh. 5.1 - Prob. 58ECh. 5.1 - Prob. 59ECh. 5.1 - Prob. 60ECh. 5.1 - Prob. 61ECh. 5.1 - Prob. 62ECh. 5.1 - Prob. 63ECh. 5.1 - 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