CBSE Class 10 Sample Paper for 2024 Boards - Maths Standard

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Question 24 (Choice 2) - CBSE Class 10 Sample Paper for 2024 Boards - Maths Standard - Solutions of Sample Papers for Class 10 Boards

Last updated at August 14, 2026 by

Find the value of x if 2cosec^2⁡30+xsin^2⁡60-3/4 tan^2⁡30=10

This question is similar to Question 1,(ii) Ex 8.2, Chapter 8 Class 10

Find the value of x if 2 cosec^2 30 + x sin^2 60 - 3/4 tan^2 30 = 10 - CBSE Class 10 Sample Paper for 2024 Boards - Maths Standard

part 2 - Question 24 (Choice 2) - CBSE Class 10 Sample Paper for 2024 Boards - Maths Standard - Solutions of Sample Papers for Class 10 Boards - Class 10

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Transcript

We know that, cosec 30° = 2 sin 60° = √3/2 tan 30° = 1/√3 Now, our equation is 2 cosec^2⁡30+𝑥sin^2⁡60−3/4 tan^2⁡30=10 Putting values 2 × 〖(𝟐)〗^𝟐 + 𝒙 × (√𝟑/𝟐)^𝟐− 𝟑/𝟒 × (𝟏/√𝟑)^𝟐 = 10 8 + 3/4 𝑥 − 1/4 = 10 Multiplying by 4 on both sides 32 + 3𝒙 – 1 = 40 3𝑥 = 40 – 31 3𝑥 = 9 𝒙 = 3

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