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Aleonysh [2.5K]
3 years ago
8

suppose sin(theta)=2/5, use the trig identity sin^2(theta)+cos^2(theta)=1 and the trig identity tan(theta)=sin(theta)/cos(theta)

fine tan(theta) in quadrant I. round to ten-thousandth.

Mathematics
1 answer:
IRISSAK [1]3 years ago
4 0

Answer:

tanθ ≅ 0.4364

Step-by-step explanation:

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Which statement is true regarding the graphed functions?
EastWind [94]

Answer:

f(0) = g(0)

Step-by-step explanation:

  • if a function h(x) passes through [a,b] then it can be said that h(a)=b.
  • given that, g(x) passes through (-2,0) and (0,4)

so, g(-2)=0, g(0)=4.

  • f(x) passes through (0,4) and (2,0)

so, f(2)=0, f(0)=4.

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What is the domain of the function f(x) = 2x + 5?
alukav5142 [94]

There is no value that x cannot be for linear equations.

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3 years ago
Which expression is equivalent to the following complex fraction?
Virty [35]

Answer:

  \dfrac{-4x+7}{2(x-2)}

Step-by-step explanation:

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Find values a and b that satisfy a∙〈5,-4,0〉+b∙〈2,2,-3〉=〈11,-16,-6〉.
WARRIOR [948]

The right hand side of the equation is 〈11 , -16 , 6〉

The values of a and b are a = 3 , b = -2

Step-by-step explanation:

If n . <a , b> + m . <c , d> = < x , y>, then

  • na + mc = x
  • nb + md = y

∵ a  ∙〈5 , -4 , 0〉 + b ∙ 〈2 , 2 , -3〉 = 〈11 , -16 , 6〉

- By using the rule above

∴ a(5) + b(2) = 11 ⇒ (1)

∴ a(-4) + b(2) = -16 ⇒ (2)

∴ a(0) + b(-3) = 6 ⇒ (3)

Use equation (3) to find the value of b

∵ a(0) + b(-3) = 6

∴ 0 - 3b = 6

∴ -3b = 6

- Divide both sides by -3

∴ b = -2

Substitute b in equation (1) or equation (2) to find a

∵ a(5) + b(-2) = 11

∴ 5a - 2b = 11

∵ b = 2

∴ 5a - 2(2) = 11

∴ 5a - 4 = 11

- Add 4 to both sides

∴ 5a = 15

- Divide both sides by 5

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To check your answer substitute a and b in equation (2)

∵ a(-4) + b(2) = -16

∴ -4a + 2b = -16

∵ a = 3 , b = -2

∵ The left hand side is -4a + 2b = -4(3) + 2(-2) = -12 - 4 = -16

∵ The right hand side is -16

∴ L.H.S = R.H.S

∴ The values of a and b are 3 , -2

The values of a and b are a = 3 , b = -2

Learn more:

You can learn more about the equations in brainly.com/question/11306893

#LearnwithBrainly

8 0
3 years ago
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