pleases answer question 40
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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!
Verified answer
ᴀɴꜱᴡᴇʀ ɪꜱ 5/2ᴍᴀʀᴋ ᴀꜱ ʙʀᴀɪɴʟɪꜱᴛ