Question 3 (OR 2 nd question)
If sin θ = cos θ, then find the value of 2 tan θ + cos 2 θ
![Question 3 (Or 2nd) - CBSE Class 10 Sample Paper for 2019 Boards - Part 2](https://d1avenlh0i1xmr.cloudfront.net/7adfdd63-2674-427c-8b6a-2f01d5854444/slide10.jpg)
CBSE Class 10 Sample Paper for 2019 Boards
CBSE Class 10 Sample Paper for 2019 Boards
Last updated at April 16, 2024 by Teachoo
Question 3 (OR 2 nd question)
If sin θ = cos θ, then find the value of 2 tan θ + cos 2 θ
Question 3 (OR 2nd question) If sin θ = cos θ, then find the value of 2 tan θ + cos2 θ Since sin θ = cos θ sin𝜃/cos𝜃 = 1 tan θ = 1 ∴ θ = 45° Now, 2 tan θ + cos2 θ Putting θ = 45° = 2 tan 45° + cos2 45° = 2 × 1 + (1/√2)^2 = 2 + 1/2 = (2 × 2 + 1)/2 = (4 + 1)/2 = 𝟓/𝟐