Class 10
Solutions of Sample Papers for Class 10 Boards

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

Last updated at Aug. 20, 2025 by

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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 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