Question 7 - 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 Teachoo

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

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

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Transcript

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

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

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