3 years ago

Solve for 0. Sin 75° = cos 0

Mathematics

1 answer:

matrenka [14]3 years ago

8 0

Cosine means complementary sine, the sine of an angle and the cosine of the complementary angle are the same.

sin 75° = cos θ

cos (90° - 75°) = cos θ

cos 15° = cos θ

In general when we have

cos x = cos a

the solution is

x = ±a + 360°k, integer k

Here they just went with x=a, or

θ = 15°

Answer: C θ = 15°

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