(sec2θ−1)(1−csc2θ)=(tan2θ)(−cot2θ)=−1. ( as sec2θ−tan2θ=1⇒secθ−1=tan2θ). (as csc2θ−cot2θ=1⇒1−csc2θ=−cot2θ). ( as cot2θ=1tan2θ) ... Was this answer helpful? |
Identities : sec2θ−tan2θ=1. cosec2θ−cot2θ=1. LHS=(sec2θ−1)(cosec2θ−1). =tan2θ×cot2θ. =1.....(∵tanθ=1cotθ). =RHS Hence proved ; Q1. Prove that ( ; Q2. prove that:. |
21 нояб. 2022 г. · ⇒ - tan²θ x cot²θ. ⇒ - (sin²θ)/(cos²θ) x (cos²θ)/(sin²θ). ⇒ - 1. ∴ The value of the expression (sec²θ - 1)(1 - cosec²θ) is - 1. |
12 янв. 2022 г. · Step by step video & image solution for (Sec^(2)theta-1)(1-Cosec^(2)theta)= by Maths experts to help you in doubts & scoring excellent marks in Class 10 exams. |
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26 окт. 2018 г. · LHS = ( sec 2 θ - 1 ) ( cos e c 2 θ - 1 ). = and tan 2 θ × cot 2 θ ( ∵ sec 2 θ - tan 2 θ = 1 and cos e c 2 θ - cot 2 θ = 1 ). |
16 июл. 2020 г. · Sec squared theta minus 1 into cosec squared theta minus 1 equal to 1. 1. See answer. Unlocked badge showing an astronaut's boot touching down ... |
26 мая 2020 г. · Subscribe: https://youtube.com/c/GRAVITYcoachingInstitute TRIGONOMETRIC IDENTITIES -Class(X):- ... |
Prove the following trigonometric identities. 1 + sin θ cos θ + cos θ 1 + sin θ = 2 sec θ · Q. Prove the following trignometric identities: (sec2θ−1)(cosec2θ−1) ... |
12 июн. 2023 г. · Prove that: sec θ - 1 sec θ + 1 + sec θ + 1 sec θ - 1 = 2 cos e c θ · Prove the following identities: cosec A – cosec A = cot A + cot A. |
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