Solve the equation 5 sinθ – 2 cos^2θ – 1 = 0
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Answer:
Given, 5 sinθ – 2 cos^2θ – 1 = 0
or,5 sinθ – 2 (1 – sin^2θ) – 1 = 0
or,2 sin^2 θ + 5 sin θ – 3 = 0
or,(sin θ + 3) (2 sin θ – 1) = 0
∴sin θ = 3 or, sin θ = 1/2
if sin θ = 3
This is not possible as range of sine is [–1, 1]
If sin θ = 1/2
or, sin θ = sin π/6
⇒ θ = n π + (–1)^n π/6
where n = 0, ±1, ±2 ……
hope it will help you
Thanks for asking
Answered by
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Answer:
thanks for asking stay blessed yaar
Step-by-step explanation:
15/√2 × 10–5
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