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

Last updated at September 5, 2025 by Teachoo

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[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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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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