Check sibling questions

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 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 Given 5 tan 𝛽 = 4 tan 𝛽 = 𝟒/𝟓 Now, (5 sin⁡〖𝛽 〗− 2 cos⁡𝛽)/(5 sin⁡〖𝛽 〗+ 2 cos⁡𝛽 ) Dividing numerator and denominator by cos 𝛽 = (5 sin⁡𝛽/cos⁡𝛽 − 2 co𝑠⁡𝛽/cos⁡𝛽 )/(5 sin⁡𝛽/cos⁡𝛽 + 2 co𝑠⁡𝛽/cos⁡𝛽 ) = (𝟓 𝐭𝐚𝐧⁡〖𝛽 − 𝟐〗)/(𝟓 𝐭𝐚𝐧⁡〖𝛽 + 𝟐〗 ) Putting tan θ = 𝟒/𝟓 = (5 × 4/5 − 2)/(5 × 4/5 + 2) = (4 − 2)/(4 + 2) = 2/6 = 𝟏/𝟑 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 13 years. He provides courses for Maths, Science, Social Science, Physics, Chemistry, Computer Science at Teachoo.