Question 23 - CBSE Class 10 Sample Paper for 2025 Boards - Maths Standard - Solutions of Sample Papers for Class 10 Boards

Last updated at February 12, 2025 by Teachoo

[Class 10 Sample Paper] Evaluate: (2 sin^2 60 - tan^2 30) / sec^2 45 - CBSE Class 10 Sample Paper for 2025 Boards - Maths Standard part 2 - Question 23 - CBSE Class 10 Sample Paper for 2025 Boards - Maths Standard - Solutions of Sample Papers for Class 10 Boards - Class 10

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Question 23 Evaluate: (2 sin^2⁡〖60°〗 − tan^2⁡〖30°〗)/sec^2⁡〖45°〗 (2 sin^2⁡〖60°〗 − tan^2⁡〖30°〗)/sec^2⁡〖45°〗 = (2(√3/2)^2 −(1/√3)^2)/(1/cos^2⁡〖45° 〗 ) = [𝟐(√𝟑/𝟐)^𝟐 −(𝟏/√𝟑)^𝟐 ] ×〖𝒄𝒐𝒔〗^𝟐⁡〖𝟒𝟓° 〗 = [2(√3/2)^2 −(1/√3)^2 ] ×(1/√2)^2 = [𝟐 ×𝟑/𝟒 −𝟏/𝟑] ×𝟏/𝟐 = [3/2 −1/3] ×1/2 = [(3 × 3 − 1 × 2)/(2 × 3)] ×1/2 = [(9 − 2)/6] ×1/2 = 7/6 ×1/2 = 𝟕/𝟏𝟐

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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 15 years. He provides courses for Maths, Science and Computer Science at Teachoo

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