Day 11 examples u7f13
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The document provides examples to verify trigonometric identities and determine non-permissible values that make identities false. It shows working through identities like sin+cos=1+cot and verifying that θ=30° is a solution. It also gives an example to show that cos(A+B)≠cosA + cosB is not always an identity by providing values where it is false. Finally, it asks to determine non-permissible values that make identities like sin cot /sec = cos^2 and sin+tan/(1+cos)=sin sec false.
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Day 11 examples u7f13
- 1. Verifying Identities Verify that sin + cos sin = is a solution: = 1 + cot Verify that = 30o is a solution: (sec )(1 + cos ) = 1 + sec
- 2. Give an example using values for A and B, in degrees or radians, to verify that cos(A + B) = cos A + cos B is not an identity. Left hand side Right hand side
- 3. Non-Permissible Values Determine the non-permissible values of : sin cot sec = cos2 sin + tan 1+ cos = sin sec
- 4. On the interval 0 ≤ θ < 2π, identify the non-permissible values of θ for the trigonometric identity: tan θ = 1 cot θ