Answer: the correct answer is A. 35, 55
Step-by-step explanation: got it right on my exam today
35 degrees and 55 degrees are the pairs of angle have congruent value for sinx and cosx.
Congruent angles are the angles that have equal measures.
According to the given question
We have different angles for [tex]sinx[/tex] and [tex]cosy[/tex].
And we have to find "the pairs of angles which has congruent values for sinx and cosy.
Therefore,
35 degree and 55 degree
sin(35) = [tex]sin(\frac{7\pi }{36})[/tex] =0.57
cos(35) = [tex]cos(\frac{11\pi }{36})[/tex] = 0.57
⇒ 35 degrees and 55 degrees are the pair of angles has congruent values for sinx and cosy.
35 degrees and 70 degrees
sin(35) =[tex]sin(\frac{7\pi }{36} ) =0.57[/tex]
cos(70) =[tex]cos(\frac{7\pi }{18} )[/tex] = 0.34
⇒35 degrees and 70 degrees are the pair of angles have not congruent values for sinx and cosy.
35 degrees and 145 degrees.
sin(35)=[tex]sin(\frac{7\pi }{36} )= 0.57[/tex]
cos(145) = [tex]cos(\frac{29\pi }{36} )= -0.8[/tex]
⇒ 35 degrees and 145 degrees are the pair of angles have not congruent values for the sinx and cox.
35 degrees and 55 degrees
sin(35) =[tex]sin(\frac{7\pi }{36} )[/tex]= 0.57
cos(35) = [tex]\frac{x}{y} =\frac{7\pi }{36} = 0.8[/tex]
⇒ 35 degrees and 55 degrees are the pairs of angles have not congruent values for sinx and cosx.
Hence, 35 degrees and 55 degrees are the pairs of angle have congruent value for sinx and cosx.
Learn more about congruent angles here:
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