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Take the Pythagorean Identity cos?(0) + sin (0) = 1 and divide both sides by sin (0). After simplifying, write the resulting equation. [Hint: this

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Take the Pythagorean Identity cos?(0) + sin (0) = 1 and divide both sides by sin (0). After simplifying, write the resulting equation. [Hint: this is very similar to the process of forming the equation 1 + tan?(0) = sec2(0).] sec2theta Previewa. Use the fact that 1 + tan2 (6) 2 sec2 (8) to complete the following equality: tan2(9) = l ' Preview b. Use the fact that 1 + tan2 (6) 2 sec2 (8) to complete the following equality: 1 = l l Preview c. Use the fact that 0013(9) + 1 2 cat:2 (9) to complete the following equality: (:01:2 (I9) = l ' Preview d. Use the fact that cot-.209) + 1 2 use2 (6) to complete the following equality: 1 = l ' Preview Each of the following expressions has a single numerical value for all 0 where the expression is defined. Determine the numerical value of each expression and make sure to enter a single number. a. 9 . cos? (0) + 9 . sin? (0) = b. 9 . cos2(0) + 9 . sin?(0) = c. cos? (0) + sin?(0) + sec?(0) - tan?(0) =

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