Verify the identity.cos  = -sin x

What will be an ideal response?


cos  = cos x cos   - sin x sin   = (cos x)(0) - (sin x)(1) = - sin x.

Mathematics

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Use the decibel scale to answer the question.How does the intensity of sound from a concert speaker at a distance of 20 meters compare to the intensity at a distance of 100 meters?

A. Factor of 100 weaker at 100 m. B. Factor of 50 weaker at 100 m. C. Factor of 25 weaker at 100 m. D. Factor of 5 weaker at 100 m.

Mathematics

Write the imaginary numbers using the letter i.

A. -4i 
B. -i
C. ±4 
D. 4i 

Mathematics

Add or subtract as indicated.(14x2y2 + 15y4) - (-8x4 - 7x2y2 + 15y4)

A. 8x4 + 21x2y2 B. 29x6y4 C. -8x4 + 7x2y2 + 30y4 D. 8x4 + 21x2y2 - 30y4

Mathematics

Provide an appropriate response.Explain how completing the square enables us to solve equations we could not otherwise have solved.

What will be an ideal response?

Mathematics