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DENIUS [597]
1 year ago
5

Can someone help with number 4. I will reward brainliest.

Mathematics
2 answers:
viva [34]1 year ago
7 0

<u>Let's simplify the problem down a little</u>:

 ⇒ set 'sin(θ)' as x

    ⇒ the new equation looks like: 2x^2+5x-3=0

<u>Now let's solve this equation as a quadratic</u>:

 2x^2+5x-3=0\\(2x-1)(x+3)=0\\\\2x-1=0\\x = \frac{1}{2} \\\\x+3 = 0\\x=-3

<u>Now set the x value of '1/2', to sin(θ)</u>

  • <em>it can't be -3, because trig functions can't equal a negative number</em>

         sin(θ) = 1/2

            θ = π/6, <em>which is between the range given</em>

<u>Answer: π/6</u>

Hope that helps!

liraira [26]1 year ago
5 0

Answer:

theta = pi/6 and

theta = 5pi/6

Step-by-step explanation:

see image. Factor the expression. Solve for sin theta. Then use a calculator or unit circle to solve for theta. See image.

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