If 5 tan β = 4, the 5 sinβ - 2 cosβ/5 sinβ - 2 cosβ =
(a) 1/3 (b) 2/5 (c) 3/5 (d) 6
This question is Similar to Question 15 - NCERT Exemplar - MCQ
CBSE Class 10 Sample Paper for 2023 Boards - Maths Standard
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CBSE Class 10 Sample Paper for 2023 Boards - Maths Standard
Last updated at April 16, 2024 by Teachoo
This question is Similar to Question 15 - NCERT Exemplar - MCQ
Question 18 If 5 tan Ξ² = 4, the (5 sinβ‘γπ½ γβ 2 cosβ‘π½)/(5 sinβ‘γπ½ γ+ 2 cosβ‘π½ ) = (a) 1/3 (b) 2/5 (c) 3/5 (d) 6 Given 5 tan π½ = 4 tan π½ = π/π Now, (5 sinβ‘γπ½ γβ 2 cosβ‘π½)/(5 sinβ‘γπ½ γ+ 2 cosβ‘π½ ) Dividing numerator and denominator by cos π½ = (5 sinβ‘π½/cosβ‘π½ β 2 coπ β‘π½/cosβ‘π½ )/(5 sinβ‘π½/cosβ‘π½ + 2 coπ β‘π½/cosβ‘π½ ) = (π πππ§β‘γπ½ β πγ)/(π πππ§β‘γπ½ + πγ ) Putting tan ΞΈ = π/π = (5 Γ 4/5 β 2)/(5 Γ 4/5 + 2) = (4 β 2)/(4 + 2) = 2/6 = π/π So, the correct answer is (a)