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Stels [109]
3 years ago
15

Which pair of angles has congruent values for the sin x° and the cos y°?

Mathematics
2 answers:
Ronch [10]3 years ago
6 0

Answer:

35°; 55°

Step-by-step explanation:

Suppose,

\sin x=\cos y

\sin x = \sin (90-y)      (\because \cos \theta = \sin (90-\theta))

\implies x = 90 - y

\implies x + y = 90

Hence, x and y must be complementary angles.

∵ 35° + 55°  = 90°

35° +  145°  = 180° ≠ 90°

35° + 70°  = 105° ≠ 90°

35° +  35° = 70° ≠ 90°

Therefore, the pair of angles would be 35°; 55°.

Lesechka [4]3 years ago
5 0
This one is A. they are complementary
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