Math, asked by astha2109, 1 year ago

pleases answer question 40

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Answers

Answered by priyanshu4098
1
ᴀɴꜱᴡᴇʀ ɪꜱ 5/2

ᴍᴀʀᴋ ᴀꜱ ʙʀᴀɪɴʟɪꜱᴛ

astha2109: ya but how?
astha2109: i know it
Answered by siddhartharao77
2

Answer:

5/2

Step-by-step explanation:

Given: sinθ - cosθ = 0

⇒ sinθ = cosθ

⇒ sinθ = sin(90 - θ)

⇒ θ = 90 - θ

⇒ 2θ = 90

⇒ θ = 45° {Acute angle}

Now,

2 cot²θ - sin²θ + 1

= 2 cot²(45) - sin²(45) + 1

= 2 (1) - (1/√2)² + 1

= 2 - 1/2 + 1

= 3 - 1/2

= 5/2


Hope it helps!


astha2109: thnq so much
siddhartharao77: Welcome
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