Question

Find the exact value of each of the following under the given conditions: 5 8113 sin a 0 <a 113 13.0<«< q: cos B= 1 2<B<0 (a) sin(a + B) (b) cos (a + b) (c) sin(a-B) (d) tan (a-B) (a) sin(a+b)= 1 (Simplify your answer, including any radicals. Use integers or fractions for any numbers in the expression.) (b) cos (a + b) = (Simplify your answer, including any radicals. Use integers or fractions for any numbers in the expression.) (c) sin(a - b)- (Simplify your answer, including any radicals. Use integers or fractions for any numbers in the expression.) (d) tan(a - B)= (Simplify your answer, including any radicals. Use integers or fractions for any numbers in the expression.)

Answer 1

Siup: 7 J113 I coco taup: -7 . <pco 2 (a) Sin ( a +B) ? Sin (at 8) = sin el cospot cosce siuß (1969-1+() 7 113 11 13 J13 84 13 5113 44 13 5113 = - 44 JI13 134 113

Sin el + B = 44 JI13 1469 (6 Coola +B) losla+) = con le cosß = cosa cosp - Sin el siuß J-45) 8J113 13 113 96 JI13 +353113 1469 0 131 J113 1469 cos Cal+ B2 131 J113 1469

( sin(a-B) = Six al cosß- cosa siuß 18.913) - (03) 6-7,500) 40 5113 +64 5113 1469 süyl alp 124 JT13 1469 (d) tan (a-B) taua- tauß It tan atauß (5)-(-7) +42 it 7 8