PROVE: Inverse Trigonometric Functions on a calculator Most calculators do not have key for or . prove the following identities, and then use these identities and a calculator to find , and
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t= 1 1 - cos (2n.) 11. Prove by induction that sin (2t - 1)2) = = for all n e N and all r ER where sin : +0. 2 sin You may use the following two identities but you do not have to prove them. (5 marks) 2 sin Asin B = cos(A - B) - cos(A+B) cos (2A) = 1 - 2 sin? A
Use properties of the trigonometric functions to find the exact value of each expression. Do not use a calculator.
Find the exact values of the six trigonometric functions of the given angle. If any are not defined, say "not defined". Do not use a calculator -135o
