Question 12 - CBSE Class 10 Sample Paper for 2026 Boards - Maths Basic - Solutions of Sample Papers for Class 10 Boards

Last updated at Sept. 9, 2025 by Teachoo

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Question 12 Which one of the following is not equal to Unity? (A) sin2𝒙 + cos2𝒙 (B) cot2𝒙 − cosec2𝒙 (C) sec2𝒙 − tan2𝒙 (D) tan𝒙. cot𝒙Now, we know that 〖𝒔𝒊𝒏〗^𝟐⁡𝒙+〖𝒄𝒐𝒔〗^𝟐⁡𝒙=𝟏 Dividing by sin2 x 〖𝑠𝑖𝑛〗^2⁡𝑥/〖𝑠𝑖𝑛〗^2⁡𝑥 +〖𝑐𝑜𝑠〗^2⁡𝑥/〖𝑠𝑖𝑛〗^2⁡𝑥 =1/〖𝑠𝑖𝑛〗^2⁡𝑥 1+〖𝑐𝑜𝑡〗^2⁡𝑥=〖𝑐𝑜𝑠𝑒𝑐〗^2⁡𝑥 1=〖𝑐𝑜𝑠𝑒𝑐〗^2⁡𝑥−〖𝑐𝑜𝑡〗^2⁡𝑥 〖𝒄𝒐𝒔𝒆𝒄〗^𝟐⁡𝒙−〖𝒄𝒐𝒕〗^𝟐⁡𝒙=𝟏 But, cot2𝒙 − cosec2𝒙 is not equal to 1 Option (B) is not equal to unity So, 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 15 years. He provides courses for Maths, Science and Computer Science at Teachoo

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