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laiz [17]
3 years ago
11

Sec theta - Csc theta / (csc theta)(sec theta)

Mathematics
2 answers:
Sophie [7]3 years ago
3 0

Answer:

sin(x)-cos(x)

Step-by-step explanation:

\frac{\frac{1}{cos(x)} - \frac{1}{sin(x)}  }{\frac{1}{sin(x)} * \frac{1}{cos(x)}  }

Simplify the denominator:

\frac{\frac{1}{cos(x)} - \frac{1}{sin(x)}  }{\frac{1}{cos(x)sin(x)}  }

Simplify the numerator:

\frac{{\frac{2(sin(x)-cos(x))}{sin(2x)} }  }{\frac{1}{sin(x)} * \frac{1}{cos(x)}  }

Divide the fractions: <u>(a/b)/(c/d) = (a * d)/(b * c)</u>:

\frac{(-cos(x)+sin(x))*2cos(x)sin(x)}{sin(2x)}

Use the identity: <u>2cos(x)sin(x) = sin(2x):</u>

\frac{sin(2x)(-cos(x)+sin(x))}{sin(2x)}

Cancel out the common factor (sin(2x)):

-cos(x) + sin(x)

Simplify:

sin(x) - cos(x)

Afina-wow [57]3 years ago
3 0

Answer:

IDK

Step-by-step explanation:

Sorry this is way too hard.

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