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

Last updated at Dec. 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

Next: Question 7 → Go Ad-free

Transcript

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

Made by

Davneet Singh

Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 14 years. He provides courses for Maths, Science and Computer Science at Teachoo

Class 6

Class 7

Class 8

Class 9

Class 10

Class 11

Class 12

Courses

Interesting

Popular