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Trig./Pre-Calc
4.3B Right Triangle Trigonometry
Example #1:
Use trigonometric identities to transform one side of the equation into the other.
a) tan  cot   1
b) tan  cos  sin 
c) (1  cos )(1  cos )  sin 2 
d)
sin  cos 

 csc  sec 
cos  sin 
Example #2
Use a calculator to evaluate each function, and round your answer to four decimal places.
(Be sure the calculator is in the correct mode.)
a)
sin 16.35°
b)
csc 16.35°
c)
cot

16
d)
tan

16
Example #3



Find the value of  in degrees 0    90 and radians 0    
a calculator.
a)
sin  = ½
b)
csc  = 2
c)
sec  = 2
d)
cot  = 1
e)
csc  =
f)
sin  =
2 3
3
2
2
2
 without the aid of
Example #4
Solve for y.
y
30
100
Example #5
From a 150-foot observation tower on the coast, a Coast Guard officer sights a boat in
difficulty. The angle of depression of the boat is 4  . How far is the boat from the
shoreline?
Assignment 4.3B Pg. 285 #46-80 even, 98