Help please!! Use identities to find the exact value of each of the four remaini
ID: 3372871 • Letter: H
Question
Help please!!
Use identities to find the exact value of each of the four remaining trigonometric functions of the acute angle theta. Sin theta = 3/7, cos theta = 2 root 10 / 7 tan theta = (Simplify your answer, including any radicals. Use integers or fractions for any numbers in the expression.) CSC theta = (Simplify your answer, including any radicals. Use integers or fractions for any numbers in the expression.) sec 0 = (Simplify your answer, including any radicals. Use integers or fractions for any numbers in the expression.) Cot 0 = (Simplify your answer, including any radicals. Use integers or fractions for any numbers in the expression.)Explanation / Answer
sinA = 24/25
cos A = 7/25
sin B = 12/13
cos B = -5/13 since theta lies in second quadrant...
as we know dat cos(A+B) = cos(A)cos(B) - sin(A)sin(B)
now putting all the values we ve
= -35/325 - 288/325
= -323/325
sin(A+B) = sin(A)cos(B) + cos(A)sin(B)
-120/325 + 84/325
= -36/325
tan(a+b) = sin(a+b)/cos(a+b)
= 36 / 323
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