हिंदी

If tan 2θ = cot (θ + 6º), where 2θ and (θ + 6º) are acute angles, find the value of θ.

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प्रश्न

If tan 2θ = cot (θ + 6º), where 2θ and (θ + 6º) are acute angles, find the value of θ.

योग
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उत्तर

We have,

tan 2θ = cot (θ + 6º)

⇒ cot(90º – 2θ) = cot (θ + 6º)

⇒ 90º – 2θ = θ + 6º ⇒ 3θ = 84º

⇒ θ = 28º

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अध्याय 12: Trigonometric Ratios of Some Complemantary Angles - EXERCISE 12 [पृष्ठ ५९१]

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आर.एस. अग्रवाल Mathematics [English] Class 10
अध्याय 12 Trigonometric Ratios of Some Complemantary Angles
EXERCISE 12 | Q 10. | पृष्ठ ५९१
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