If x tan 60° cos 60° = sin60° cot 60° , then x =

(a) cos30°  (b) tan30°  (c) sin30°  (d) cot30°

 

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Question 7 If x tan 60° cos 60° = sin60° cot 60° , then x = (a) cos30° (b) tan30° (c) sin30° (d) cot30° Given x tan 60° cos 60° = sin60° cot 60° x tan 60° cos 60° = sin60° × 1/tan⁡〖60° 〗 Putting values 𝒙 × √𝟑 ×𝟏/𝟐=√𝟑/𝟐 ×𝟏/√𝟑 𝑥 × √3/2=1/2 𝑥 =1/2× 2/√3 𝒙 =𝟏/√𝟑 So, the correct answer is (b) Now, in our options (a) cos 30° = √𝟑/𝟐 (b) tan 30° = 𝟏/√𝟑 (c) sin 30° = 𝟏/𝟐 (d) cot 30° =√𝟑 Since 𝒙 =𝟏/√𝟑 matches with option (b) So, the correct answer is (b)

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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.