Module 11, Triqonometric Identities AssiqnmentIn mathematics, an identity is an equation that is always true. When you learned how to factorexpressions and equations, you worked with several algebraic identities, including (a + b)? =a? + 2ab + b? and (a – b) = (a – b)(a² + ab + b²). These identities helped you to rewriteand simplify more complex expressions or equations. This, in tum, allowed you to more easilysolve problems.In this module you were introduced to trigonometric identities, including reciprocal identities,quotient identities, Pythagorean identities, and others. Like algebraic identities, you can usetrigonometric identities to help you rewrite and simplify more complex expressions or equationsin order to more easily solve problems. You can also use these identities to verify whethertrigonometric equations represent identities. There are several ways to show an cquation may bean identity, but to prove it is an identity, you must verify it.Use what you know about trigonometric identities to explore the questions below.1. Amna needs to decide if the equationcosevalues for 0, substitute them into this equation, and simplify. What do your results indicate aboutthe equation cas esine;=1- cos e is an identity. Choose 3 possiblesin?e= 1- cos 8? Show all your work.2. The graphs of-sin e,in red, and 1- cos 8, in blue, are shown below. What do these graphs1+cosesineand your answer to question 1 indicate about the equation= 1- cos 0? Explain.1+cose 3. If possible, verify cos ematch the right-hand side of the cquation. Show all your steps. If not possible, explain why.sine;=1- cos e is true by rewriting the left-hand side of the equation to4. If possible, algebraically verif -sine=1- cos e in a different way. Show all your steps. If1+cos enot possible, explain why.5. Is the equation cos 8 - sine = 1 an identity? If so, verify it. If not, explain why.

We are only allowed to solve one question at a time and up to three sub-parts. Please post the…

Use what you know about trigonometric identities to explore the questions below. 1. Amna needs to decide if the equation values for 0, substitute them into this equation, and simplify. What do your results indicate about the equation =1- cos e is an identity. Choose 3 possible sine 1+cose =1- cos e? Show all your work.