SOLUTION: Use the Pythagorean identities to write the expression as an integer.
(a)
7 sin^2 θ + 7 cos^2 θ
(b)
7 sin2(θ/4) + 7 cos2(θ/4)
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Question 1156473: Use the Pythagorean identities to write the expression as an integer.
(a)
7 sin^2 θ + 7 cos^2 θ
(b)
7 sin2(θ/4) + 7 cos2(θ/4)
Answer by Shin123(626) (Show Source): You can put this solution on YOUR website!
a) Suppose a right triangle has hypotenuse 1 and one angle that is not the right angle . By the definition of sine and cosine, the legs have lengths and . By the Pythagorean Theorem, multiplying both sides by 7 gets .
b) Dividing by 4 in part a) gets .
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