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2sin²x=3cosx

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2sin²x=3cosx

Posted by Hare Ram Pandit 3 years, 9 months ago

CBSE > Class 11 > Mathematics

3 answers

Divya Bhardwaj 3 years, 9 months ago

Ye koi teacher h bhai

0Thank You

Bhushan Lal Sahu 3 years, 9 months ago

Typing ke time square kaise likha aapne

0Thank You

Gaurav Seth 3 years, 9 months ago

Given Equation is 2sin²x + 3cosx = 0

⇒ 2(1 - cos²x) + 3cosx = 0

⇒ 2 - 2cos²x + 3cosx = 0

⇒ 2cos²x - 3cosx - 2 = 0

⇒ 2cos²x - 4cosx + cosx - 2 = 0

⇒ 2cosx(cosx - 2) + (cosx - 2) = 0

⇒ (2cosx + 1)(cosx - 2) = 0

⇒ cosx - 1/2, cosx = 2[Not possible]

⇒ cosx = -1/2

⇒ x = 120°,240°

⇒ x = (2π/3) + 2πn, x = (4π/3) + 2πn

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ANSWER

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CBSE > Class 11 > Mathematics