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4 years ago

Can someone help me to solve this question sec(x)sin(x)-2sin(x)=0 [0,2pi) ? ASAP!!!!!

Mathematics

1 answer:

BigorU [14]4 years ago

3 0

Answer:

x = 0, π/3, π, 5π/3

Step-by-step explanation:

sec(x)sin(x) - 2sin(x) = 0

factor out sin(x)

sin(x)[sec(x) - 2] = 0

then solve by splitting into two parts:

sin(x) = 0 and sec(x) - 2 = 0

x = 0, π and x = π/3, 5π/3 then plug in to original equation to check

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Step-by-step explanation:

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3 years ago

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3 years ago

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Answer:

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3 years ago

Barry Allen loves fruit! At the farmers market he bought 88 pieces of fruit. He got twice as many apples as bananas, 5/6 as many

antiseptic1488 [7]

Answer:

Barry had the following:

8 bananas

12 apples

20 kiwi

32 peaches

8 grapefruit

4 mangos

88 total

Step-by-step explanation:

Each of the amounts of fruit can be written in terms of one variable. Starting with bananas as 'x', we can then make different values of 'x' to produce all the other numbers of fruits:

bananas = x

apples = 2x (twice as many bananas)

kiwi = 2.5x (5/6 of applies and bananas combined = 5/6(3x) or 2.5x)

peaches = 3.5x + 4 (sum of bananas and kiwis plus four = x + 2.5x + 4)

grapefruit = x (half as many apples = 2x/2)

mango = 0.5x (20% of kiwi = (0.2)(2.5)x)

88 = x + 2x + 2.5x + 3.5x + 4 + x + 0.5x

88 = 10.5x

8 = x (bananas)

apples = 2x or 16; kiwi = 2.5x or 20, peaches = 3.5x + 4 = 32, grapefruit = x or 8, mangos = 0.5x or 4

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3 years ago