Question 5 - CBSE Class 10 Sample Paper for 2026 Boards - Maths Standard - Solutions of Sample Papers for Class 10 Boards

Last updated at July 25, 2026 by Teachoo

[MCQ] If 𝑠𝑒𝑐𝛳 + 𝑡𝑎𝑛𝛳 = 𝑥 ,then 𝑠𝑒𝑐𝛳 − 𝑡𝑎𝑛𝛳 will be - CBSE Class 10 Sam - CBSE Class 10 Sample Paper for 2026 Boards - Maths Standard

part 2 - Question 5 - CBSE Class 10 Sample Paper for 2026 Boards - Maths Standard - Solutions of Sample Papers for Class 10 Boards - Class 10

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Transcript

Question 5 If 𝑠𝑒𝑐 𝛳 + 𝑡𝑎𝑛 𝛳 = 𝑥 ,then 𝑠𝑒𝑐 𝛳 − 𝑡𝑎𝑛 𝛳 will be (A) 𝑥 (B) 𝑥2 (C) 2/𝑥 (D) 1/𝑥We know that, 1 + tan2 𝜃 = sec2 𝜃 1 = sec2 𝜃 – tan2 𝜃 sec2 𝜃 – tan2 𝜃 = 1 Using (a – b) (a + b) = a2 – b2 identity (sec 𝜃 – tan 𝜃) × (sec 𝜃 + tan 𝜃) = 1 Putting values (sec 𝜃 – tan 𝜃) × x = 1 (sec 𝜃 – tan 𝜃) = 𝟏/𝒙 So, the correct answer is (d)

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