22. Which of the following identities does not belong to Pythagorean identities?*1 pointA. 1 + 〖Cot〗^2 θ=〖Csc〗^2 θB. 1-〖Sin〗^2 θ=〖Cos〗^2 θC. 〖Tan〗^2 θ+〖Cot〗^2 θ=1D. 〖Csc〗^2 θ-1= 〖Tan〗^2 θ

Prove the following using trigonometric identities:1. (1 - cos2θ) csc2θ = 12. sec θ √(1 - sin^2θ) = 13. tan θ sin θ + cos θ = sec θ4. (1 - cos θ)(1 + cos θ)(1 + cot^2θ) = 15. cot θ + tan θ = sec θ csc θ

Which of the following expressions is not equivalent to cot2θ?csc 2θ + 1( ) 2csc 2θ - 1

The Pythagorean Theorem states that for a right-angled triangle 4ABC, as in figure, a2 =b2 + c2. Use this equation to prove that sin2 θ + cos2 θ = 1

If sec⁡ θ = √2 and cot⁡ θ < 0, then find the exact value of cot ⁡θ.*−(√2)√2−11In ∆ABC, ∠A is a right angle and m∠B=45. How long is side BC if AB+AC=16?*8√2 units4√2 units16√2 units2√2 unitsIn a right triangle with acute angle θ, the side adjacent to θ has length 3 and the hypotenuse has length 9. Find the value of csc θ.*(3/4)√2(2√2)/331/3

tan (45° + θ) – cot (45° – θ) is equal to –2cos θ02sin θ1