CBSE Class 10 Sample Paper for 2019 Boards

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

Last updated at April 16, 2024 by

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

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

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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, Social Science, Physics, Chemistry, Computer Science at Teachoo.