If sin π + cos π = √2 cos π, (π ≠ 90°) then the value of tan π is
(a) √2 − 1 (b) √2 + 1 (c) √2 (d) − √2
CBSE Class 10 Sample Paper for 2020 Boards - Maths Standard
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CBSE Class 10 Sample Paper for 2020 Boards - Maths Standard
Last updated at April 16, 2024 by Teachoo
Question 6 If sin π + cos π = β2 cos π, (π β 90Β°) then the value of tan π is (a) β2 β 1 (b) β2 + 1 (c) β2 (d) β β2 Given sin π + cos π = β2 cos π Dividing both sides by cos ΞΈ (sinβ‘π + cosβ‘π)/cosβ‘π = (β2 cosβ‘π)/cosβ‘π sinβ‘π/cosβ‘π +cosβ‘π/cosβ‘π =β2 tan π+1=β2 tan π=β2β1 β΄ Option (a) is correct