Question 25 (B) - CBSE Class 10 Sample Paper for 2026 Boards - Maths Basic - Solutions of Sample Papers for Class 10 Boards

Last updated at Sept. 10, 2025 by Teachoo

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Question 25 (B) If sin 𝒙 = 7/25 , where 𝑥 is an acute angle, then find the value of sin𝒙. cos𝒙(tan𝒙 + cot𝒙).Now, we need to find 𝐬𝐢𝐧⁡𝒙 𝐜𝐨𝐬⁡𝒙 (𝐭𝐚𝐧⁡𝒙+𝐜𝐨𝐭⁡𝒙 ) Putting tan x and cot x in terms of sin and cos Our equation becomes 𝐬𝐢𝐧⁡𝒙 𝐜𝐨𝐬⁡𝒙 (𝐭𝐚𝐧⁡𝒙+𝐜𝐨𝐭⁡𝒙 ) =𝑠𝑖𝑛⁡𝑥 𝑐𝑜𝑠⁡𝑥 ((𝑠𝑖𝑛 𝑥)/(𝑐𝑜𝑠 𝑥)+(𝑐𝑜𝑠 𝑥)/(𝑠𝑖𝑛 𝑥)) =𝑠𝑖𝑛⁡𝑥 𝑐𝑜𝑠⁡𝑥 ((𝑠𝑖𝑛 𝑥 ×sin⁡𝑥 + cos⁡𝑥 ×cos⁡𝑥 )/(sin⁡𝑥 × 𝑐𝑜𝑠 𝑥)) =𝒔𝒊𝒏⁡𝒙 𝒄𝒐𝒔⁡𝒙 ((〖𝐬𝐢𝐧〗^𝟐⁡𝒙 + 〖𝐜𝐨𝐬〗^𝟐⁡𝒙)/(𝒔𝒊𝒏⁡𝒙 × 𝒄𝒐𝒔 𝒙)) Putting sin^2⁡𝑥 + cos^2⁡𝑥=1 =𝑠𝑖𝑛⁡𝑥 𝑐𝑜𝑠⁡𝑥 (1/(sin⁡𝑥 × 𝑐𝑜𝑠 𝑥)) =𝟏 Thus, answer is 1

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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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