WebbIn the given question, we need to prove `1 + cot^2 theta/(1 + cosec theta) = cosec theta` Using `cot theta = cos theta/sin theta` and `cosec theta = 1/sin theta` We get `1 + cot^2 … Webb31 juli 2024 · How do I show that (cosecA+cotA)(cosecA-cotA) = (1-cosecA+cotA)? For this to be true, it must be true for all values of A. We’ll need the basic trigonometric identity: cos2(A)+sin2(A)=1. Dividing both sides of this identity by sin2(A), we get: cot2(A)+1=cosec2(A) [Eq.1] Now, let’s look at the left side of your equation. …
Prove: 1 - cos A/ 1 + cos A = (cot A - cosec A)^2 - Sarthaks
WebbStep - 1: Write the equation in terms of sin and cos and solve furtherWe know that, cot θ = sinθcosθConsider, 1 + cot 2θ = 1 + (sin θcos θ)2⇒ 1 + cot 2θ = 1 + sin 2θcos 2θ⇒ 1 + cot 2θ = sin 2θsin 2θ + cos 2θWe know that, sin 2θ + cos 2θ = 1⇒ 1 + cot 2 θ = sin 2θ1We know that, cosecθ = sinθ1⇒ 1 + cot 2θ = cosec ... Webb22 mars 2024 · Transcript. Question 29 Prove the following that- tan^3θ/(1 + 〖𝑡𝑎𝑛^2〗θ ) + cot^3θ/(1 + 〖𝑐𝑜𝑡〗^2θ ) = sec θ cosec θ – 2 sin θ cos θSolving LHS tan^3θ/(1 + 〖𝑡𝑎𝑛^2〗θ ) + cot^3θ/(1 + 〖𝑐𝑜𝑡〗^2θ ) = tan^3θ/(1 + 〖𝑡𝑎𝑛^2〗θ ) + (𝟏/〖𝐭𝐚𝐧〗^𝟑𝜽 )/(𝟏 + 𝟏/〖𝐭𝐚𝐧 ... fishing tales rv park lebanon mo
3. Show that 1−sinA1+sinA =secA+tanA(0∘ <90∘). 4. Show that cot2 …
WebbProve That: (1 + Cot^2 θ/ (1 + Cosec θ)) = Cosec θ - Mathematics. Advertisement Remove all ads. Advertisement Remove all ads. Sum. Prove that: θ θ θ ( 1 + cot 2 θ 1 + cos e c θ) … Webb5 apr. 2024 · Show that cot2 A−11−tan2 A =tan2 A(0∘ WebbProve that cosA+sinA−1cosA−sinA+1=cosecA+cotA Medium Solution Verified by Toppr cosA+sinA−1cosA−sinA+1 = cotA+1−cosecAcotA−1+cosecA [Dividing numerator and denominator by sinA] Rationalizing the denominator = (cotA+1) 2−cosec 2A(cotA−1+cosecA)(cotA+1+cosecA) = 2cotA(cotA+cosecA) 2−1 = 2cotA2cot … cancer council sun shelter