Question 3 (OR 2 ^{ nd } question)
If sin θ = cos θ, then find the value of 2 tan θ + cos ^{ 2 } θ
CBSE Class 10 Sample Paper for 2019 Boards
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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