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

Last updated at July 27, 2026 by Teachoo

Which one of the following is not equal to Unity? (A) sin2𝒙 + cos2𝒙 - CBSE Class 10 Sample Paper for 2026 Boards - Maths Basic

part 2 - Question 12 - CBSE Class 10 Sample Paper for 2026 Boards - Maths Basic - Solutions of Sample Papers for Class 10 Boards - Class 10

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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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