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Home > PC3 > Chapter 8 > Lesson 8.3.3 > Problem 8-115

8-115.
  1. Simplify each the following trigonometric expressions. Homework Help ✎

    1. cos(A)cot(A) + sin(A)

    2. sin2(θ) + tan2(θ) – cot2(θ) + cos2(θ) – sec2(θ) + csc2(θ)

1. Rewrite everything in terms of sine and cosine.
2. Get a common denominator.
3. Use the Fundamental Pythagorean Identity.
4. Simplify.

Use the Pythagorean Identities.
Change their forms to get 1s.

cos2(θ) + sin2(θ) = 1
1 + tan2(θ) = sec2(θ)
1 + cot2(θ) = csc2(θ)