Question

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Answer 1

Answer:

theta = π/6

Step-by-step explanation:

You write cos²(∅) as 1-sin²(∅), put sin(∅) = m which reduces the trigonometric expression to a quadratic equation, solve for m and hence for theta.

Sin²(∅) - 3sin(∅) + 2 = 1 - sin²(∅)

2sin²(∅) - 3sin(∅) + 1 = 0

Let sin(∅) = m.

2m² - 3m + 1 = 0

(2m-1)(m-2) = 0

m = 1/2 , 2

sin(∅) = 1/2 , 2

but sin(∅) € [-1, 1] and hence sin(∅) can never be 2. Thus,

sin(∅) = 1/2

∅ = sin-¹(1/2)

∅ = π/6

Thus, the answer is π/6 or 30°.

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Answer 2

Answer:

6/30°I hope this is helpful for you