Question

8.4 Which of the following is not​ true? Choose the correct answer. A. We verify an...

8.4 Which of the following is not​ true?

Choose the correct answer.

A. We verify an identity by trying to transform one side of the identity into the exact trigonometric expression that appears on the opposite side.

B. If one side of an identity includes a trigonometric expression involving the sum or difference of sine and cosine or the product of sines​ and/or cosines, then to verify the identity always start by transforming the other side of the identity.

C. If one side of an identity includes a trigonometric expression involving the sum or difference of sine and​ cosine, then to verify the identity first substitute the appropriate​ sum-to-product formula.

D. If one side of an identity includes a trigonometric expression involving the product of sines​ and/or cosines, then to verify the identity first substitute the appropriate​ product-to-sum formula.

9.2. Suppose that the measure of angle A, the length of side a, and the length of side b are given where a is the length of the side opposite angle A. If 0<sinB<1, then which statement is​ false?

Choose the correct answer.

A. There can be two oblique triangles. One triangle has one obtuse angle and the other triangle has three acute angles.

B. There can be one oblique triangle with one obtuse angle.

C. There can be two oblique triangles. Both triangles have three acute angles.

D. There can be one oblique triangle with three acute angles.

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