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About Paul Klarreich
Expertise
I can answer questions in basic to advanced algebra (theory of equations, complex numbers), precalculus (functions, graphs, exponential, logarithmic, and trigonometric functions and identities), basic probability, and finite mathematics, including mathematical induction. I can also try (but not guarantee) to answer questions on Abstract Algebra -- groups, rings, etc. and Analysis -- sequences, limits, continuity. I won't understand specialized engineering or business jargon.

Experience
I taught at a two-year college for 25 years, including all subjects from algebra to third-semester calculus.

 
   

You are here:  Experts > Science > Mathematics > Advanced Math > plane trigonometry

Topic: Advanced Math



Expert: Paul Klarreich
Date: 5/9/2008
Subject: plane trigonometry

Question
GOOD DAY!
I'm having trouble answering these questions ,can you  check it for me...the more i try the more getting far with the right answer ..Thanks a lot! kindly answer this with solutions for me to understand where i mess it up.


Find the acute angle A to the nearest second when:

a.sin A = 0.30985
b.cot A=0.52613
c.cos A=0.77273
d.tan A=6.63831
e.sin A=0.10655
f.cos A=0.55570
g.sin A=0.92112
h.tan A=0.13476
i.cot A=0.32323
j.cos A=0.75273


Answer  
a.)
sin(A) = 0.30985
A = sin^-1(.30985)
A = 18°3'0.69"

-----------------

b.)
cot(A) = 0.52613
tan(A) = 1/(.52613)
A = tan^-1(1/.52613)
A = 62°14'59.27"

------------------------

c.)
cos(A) = 0.77273
A = cos^-1(.77273)
A = 39°24'1.16"

--------------------------

d.)
tan(A) = 6.63831
A = tan^-1(6.63831)
A = 81°26'00

--------------------------

e.)
sin(A) = 0.10655
A = sin^-1(.10655)
A = 6°6'59.31

--------------------------

i.)
cot(A) = 0.32323
tan(A) = 1/(.32323)
A = tan^-1(1/.32323)
A = 72°5'15.4"
   those letters that i did not type my answers,that what i mess  up the most.

find the following functions correct to five decimal places:



a.sin 22°43'
answer 0.38617

b.cos 44°56'
answer 0.70793

c.sin 49°17'
answer 0.64657

d.tan 11°37'
answer  0.20557


e.sin 79°23'30"
answer 0.18456

f.cot 19°0'25"
 answer  0.56892

g.tan 64°6'45"
answer  0.15689

h.cos 29°45'48"
 answer  0.12896

i.cot 78°45'50"
 answer 0.58462

j.cos 15°12'51"
 answer 0.15869

once again thank you very much!

Answer
Questioner:   grace
Category:  Advanced Math
Private:  No
 
Subject:  plane trigonometry
Question:  GOOD DAY!
I'm having trouble answering these questions ,can you  check it for me...the more i try the more getting far with the right answer ..Thanks a lot! kindly answer this with solutions for me to understand where i mess it up.


Find the acute angle A to the nearest second when:

a.sin A = 0.30985
b.cot A=0.52613
c.cos A=0.77273
d.tan A=6.63831
e.sin A=0.10655
f.cos A=0.55570
g.sin A=0.92112
h.tan A=0.13476
i.cot A=0.32323
j.cos A=0.75273


Answer  
a.)
sin(A) = 0.30985
A = sin^-1(.30985)
A = 18°3'0.69"

>> I suggest this routine: Again, Excel is good for this:

Cell 1: 0.30985
Cell 2: =ASIN(cell 1)*180/PI()
Cell 3: =INT(C2)  <<    THAT'S YOUR DEGREES.
Cell 4: =(c2 - c3)*60
Cell 5: =INT(C4)   << THAT'S YOUR MINUTES.
Cell 6: =INT((C4 - C5) * 60)  << THAT'S YOUR SECONDS.


-----------------

b.)
cot(A) = 0.52613
tan(A) = 1/(.52613)
A = tan^-1(1/.52613)
A = 62°14'59.27"

------------------------

c.)
cos(A) = 0.77273
A = cos^-1(.77273)
A = 39°24'1.16"

--------------------------

d.)
tan(A) = 6.63831
A = tan^-1(6.63831)
A = 81°26'00

--------------------------

e.)
sin(A) = 0.10655
A = sin^-1(.10655)
A = 6°6'59.31

--------------------------

i.)
cot(A) = 0.32323
tan(A) = 1/(.32323)
A = tan^-1(1/.32323)
A = 72°5'15.4"
those letters that i did not type my answers,that what i mess  up the most.

find the following functions correct to five decimal places:

=============== THESE ARE THE SAME AS THE LAST ANSWER ========

a.sin 22°43'
answer 0.38617

b.cos 44°56'
answer 0.70793

c.sin 49°17'
answer 0.64657

d.tan 11°37'
answer  0.20557


e.sin 79°23'30"
answer 0.18456

f.cot 19°0'25"
answer  0.56892

g.tan 64°6'45"
answer  0.15689

h.cos 29°45'48"
answer  0.12896

i.cot 78°45'50"
answer 0.58462

j.cos 15°12'51"
answer 0.15869

once again thank you very much!
....................................
Hi again, Grace,

You did not indicate what you did to get your answers, so I can't check your mathematics (let alone your arithmetic). And this is not an 'arithmetic-checking' site.  That's why you have answers in the back of the book.

Send me a problem (not ten) you are having trouble with, tell me what you did, and then I'll try to help.


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