Respuesta :
Using ur calculator you should get 15 degrees ( Use the sin-1 key.).
Angle complementary to x is 90-15 = 75 degrees
and as sin x = cos(90-x) then cos 75 is also equal 0.2588
Angle complementary to x is 90-15 = 75 degrees
and as sin x = cos(90-x) then cos 75 is also equal 0.2588
Answer: 1) The approximate value of x is 15°,
2) The approximate value of cosine of the angle that is complementary to x is 0.2588.
Step-by-step explanation:
1) According to the question,
[tex]sin x = 0.2588[/tex]
[tex]\implies x = sin^{-1}(0.2588)[/tex]
[tex]\implies x = 14.9988703055\approx 15^{\circ}[/tex]
2) Now, the complementary of x = 90° - x = 90° - 15° = 75°
Hence, the cosine of the angle that is complementary to x is,
cos (75°) = 0.2588190451 ≈ 0.2588
Note : The two angles are complementary angles if their sum is 90°.
