Question 25 (B) - 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

If sin 𝒙 = 7/25 , where 𝑥 is an acute angle, then find the value of - CBSE Class 10 Sample Paper for 2026 Boards - Maths Basic

part 2 - Question 25 (B) - CBSE Class 10 Sample Paper for 2026 Boards - Maths Basic - Solutions of Sample Papers for Class 10 Boards - Class 10

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Transcript

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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