CBSE Class 10 Sample Paper for 2023 Boards - Maths Standard

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Question 18 - CBSE Class 10 Sample Paper for 2023 Boards - Maths Standard - Solutions of Sample Papers for Class 10 Boards

Last updated at April 16, 2024 by

If 5 tan β = 4, the 5 sin⁡β - 2 cos⁡β/5 sin⁡β - 2 cos⁡β  =

(a) 1/3   (b) 2/5   (c) 3/5   (d) 6

 

This question is Similar to Question 15 - NCERT Exemplar - MCQ

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Question 18 If 5 tan Ξ² = 4, the (5 sin⁑〖𝛽 γ€—βˆ’ 2 cos⁑𝛽)/(5 sin⁑〖𝛽 γ€—+ 2 cos⁑𝛽 ) = (a) 1/3 (b) 2/5 (c) 3/5 (d) 6 Given 5 tan 𝛽 = 4 tan 𝛽 = πŸ’/πŸ“ Now, (5 sin⁑〖𝛽 γ€—βˆ’ 2 cos⁑𝛽)/(5 sin⁑〖𝛽 γ€—+ 2 cos⁑𝛽 ) Dividing numerator and denominator by cos 𝛽 = (5 sin⁑𝛽/cos⁑𝛽 βˆ’ 2 co𝑠⁑𝛽/cos⁑𝛽 )/(5 sin⁑𝛽/cos⁑𝛽 + 2 co𝑠⁑𝛽/cos⁑𝛽 ) = (πŸ“ π­πšπ§β‘γ€–π›½ βˆ’ πŸγ€—)/(πŸ“ π­πšπ§β‘γ€–π›½ + πŸγ€— ) Putting tan ΞΈ = πŸ’/πŸ“ = (5 Γ— 4/5 βˆ’ 2)/(5 Γ— 4/5 + 2) = (4 βˆ’ 2)/(4 + 2) = 2/6 = 𝟏/πŸ‘ So, the correct answer is (a)

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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 and Computer Science at Teachoo