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azamat
2 years ago
12

Which of the following is not an identity?

Mathematics
1 answer:
Shkiper50 [21]2 years ago
8 0
A ) cos² x · 1 / sin x - 1 / sin x = - sin x
cos² x - 1 / sin x = - sin x 
- sin² x / sin x = - sin x
- sin x = - sin x     ( correct )
B ) sin x ( cos x / sin x + sin x / cos x ) = 1 / cos x
sin x · ( cos² x + sin²x ) / sin x cos x = 1 / cos x
sin x · 1 / sin x cos x = 1 / cos x
1 / cos x = 1 / cos x  ( correct )
C ) cos² x - sin² x = 1 - 2 sin² x
1 - sin² x - sin² x = 1 - 2 sin² x
1 - 2 sin² x = 1 - 2 sin² x   ( correct )
D ) 1/sin²x + 1/ cos²x = 1
cos²x + sin² x / sin² x cos² x = 1
1 / cos² x sin² x = 1
cos²x sin² x ≠ 1
Answer: D ) is not an identity. 
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The perimeter of a trapezoid is given as follows;

Perimeter = The sum of the lengths of the sides

Which gives;

Perimeter = 6 + 7 + 6.5 + 9.5 = 29

The perimeter of the trapezoid =<u> 29 cm</u>

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The area of the trapezoid is given as follows;

Area = \mathbf{ \dfrac{Sum \ of \ the \ parallel \ sides }{2} \times Height}

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Area = \dfrac{7 + 9.5 }{2} \times 6 = 49.5

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Learn more about the area and perimeter of geometric shapes here:

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