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Marina86 [1]
3 years ago
14

Cot^2x csc^2x + 2 csc^2x –cot^2 = 2

Mathematics
1 answer:
kow [346]3 years ago
4 0

Answer:

x = π/2 + πk

Step-by-step explanation:

cot² x csc² x + 2 csc² x − cot² x = 2

Multiply both sides by sin² x:

cot² x + 2 − cos² x = 2 sin² x

Add cos² x to both sides:

cot² x + 2 = 2 sin² x + cos² x

Pythagorean identity:

cot² x + 2 = sin² x + 1

Subtract 1 from both sides:

cot² x + 1 = sin² x

Pythagorean identity:

csc² x = sin² x

Multiply both sides by sin² x:

1 = sin⁴ x

Take the fourth root:

sin x = ±1

Solve for x:

x = π/2 + 2πk, 3π/2 + 2πk

Which simplifies to:

x = π/2 + πk

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2 years ago
Better Crocker is baking a cake. She needs 2 1/4 cups of sugar and 1 1/2 cups of brown sugar. How much sugar does she need in al
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3 years ago
Worth 30 points
Ivenika [448]

The answer to question 34:

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3 0
3 years ago
Read 2 more answers
Convert the length 7 centimeters to meters. Compare the numerical values when both numbers are written in scientific notation
miv72 [106K]
<span>1.       </span><span>Given numbers
=> 7 centimeters convert to meters
In every 1 meter there are 100 centimeters
=> 7 / 100
=> 0.07
Therefore in 7 centimeters there are 0.07 meters.
7 cm is a whole number while 0.07 m is a decimal number
Scientific Notation of each numbers
=> 7 cm = 7 x 10^0
=> 7 m = 1 x 10^-2
Scientific notation by the way is an expression used by the scientist to make a large number or very small number easy to handle.


</span>



4 0
3 years ago
Taylor baked a cake. Suppose she cut the cake into 8 equal size pieces and 6 people ate all the pieces. Explain how they could h
Karolina [17]
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hope this helps :)
5 0
3 years ago
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