Question 6 - CBSE Class 10 Sample Paper for 2020 Boards - Maths Standard - Solutions of Sample Papers for Class 10 Boards

Last updated at April 16, 2024 by Teachoo

If sin 𝜃 + cos 𝜃 = √2 cos 𝜃, (𝜃 ≠ 90°) then the value of tan 𝜃 is

(a) √2 − 1 (b) √2 + 1 (c) √2 (d) − √2

If sin 𝜃 + cos 𝜃 = √2 cos 𝜃, then the value of tan 𝜃 is - CBSE Class 1

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Question 6 If sin 𝜃 + cos 𝜃 = √2 cos 𝜃, (𝜃 ≠ 90°) then the value of tan 𝜃 is (a) √2 − 1 (b) √2 + 1 (c) √2 (d) − √2 Given sin 𝜃 + cos 𝜃 = √2 cos 𝜃 Dividing both sides by cos θ (sin⁡𝜃 + cos⁡𝜃)/cos⁡𝜃 = (√2 cos⁡𝜃)/cos⁡𝜃 sin⁡𝜃/cos⁡𝜃 +cos⁡𝜃/cos⁡𝜃 =√2 tan 𝜃+1=√2 tan 𝜃=√2−1 ∴ Option (a) is correct

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