What is the value of (tan ๐ cosec ๐) ^{ 2 } ย โ (sin ๐ย sec ๐)2
(a) โ1 ย (b) 0 ย (c) 1 ย (d) 2
CBSE Class 10 Sample Paper for 2022 Boards - Maths Basic [MCQ]
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CBSE Class 10 Sample Paper for 2022 Boards - Maths Basic [MCQ]
Last updated at Sept. 9, 2021 by Teachoo
Question 32 What is the value of (tan ๐ cosec ๐)2 โ (sin ๐ sec ๐)2 (a) โ1 (b) 0 (c) 1 (d) 2 (tan ๐ cosec ๐)2 โ (sin ๐ sec ๐)2 = (sinโกฮธ/cosโกใฮธ ใ ร1/sinโกใฮธ ใ )^2 โ (sinโกใฮธ ใร1/cosโกใฮธ ใ )^2 = (1/cosโกใฮธ ใ )^2 โ (sinโกใฮธ ใ/cosโกใฮธ ใ )^2 = ใ๐ฌ๐๐ใ^๐ ๐ฝ โใ๐ญ๐๐งใ^๐ ๐ฝ = 1 So, the correct answer is (c) We know that 1 + tan2 ฮธ = sec2 ฮธ 1 = sec2 ฮธ โ tan2 ฮธ sec2 ฮธ โ tan2 ฮธ = 1