What is the value of (tan π cosec π) ^{ 2 } − (sin π sec π)2
(a) −1 (b) 0 (c) 1 (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 April 16, 2024 by Teachoo
Question 32 What is the value of (tan π cosec π)2 β (sin π sec π)2 (a) β1 (b) 0 (c) 1 (d) 2 (tan π cosec π)2 β (sin π sec π)2 = (sinβ‘ΞΈ/cosβ‘γΞΈ γ Γ1/sinβ‘γΞΈ γ )^2 β (sinβ‘γΞΈ γΓ1/cosβ‘γΞΈ γ )^2 = (1/cosβ‘γΞΈ γ )^2 β (sinβ‘γΞΈ γ/cosβ‘γΞΈ γ )^2 = γπ¬ππγ^π π½ βγπππ§γ^π π½ = 1 So, the correct answer is (c) We know that 1 + tan2 ΞΈ = sec2 ΞΈ 1 = sec2 ΞΈ β tan2 ΞΈ sec2 ΞΈ β tan2 ΞΈ = 1