Question 3 (OR 2 nd   question)

If sin θ = cos θ, then find the value of 2 tan θ + cos 2 θ

If sin θ = cos θ, then find the value of 2 tan θ + cos^2 θ - Teachoo

Question 3 (Or 2nd) - CBSE Class 10 Sample Paper for 2019 Boards - Part 2

Go Ad-free

Transcript

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 sin⁡𝜃/cos⁡𝜃 = 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

Davneet Singh's photo - Co-founder, Teachoo

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