sin230° + cos2θ = 1 হলে, θ এর মান কত?

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A

60°

B

90°

C

45°

D

30°

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সমাধান:

​দেওয়া আছে,

​sin230° + cos2θ = 1

⇒ ​(1/2)2 + cos2θ = 1

⇒ ​1/4 + cos2θ = 1

⇒ ​cos2θ = 1 - (1/4)

⇒ ​cos2θ = (4 - 1)/4

⇒ ​cos2θ = 3/4

⇒ ​cosθ = √3/2

⇒ ​​cosθ = ​cos30°

​∴ θ = ​30°

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Updated: 1 day ago

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