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

Share on WhatsApp

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

Davneet Singh's photo - Co-founder, Teachoo

Made by

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