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SAT Math Practice Question #39125 - SATify | SATify

#39125

ratio

angles

pythagorean theorem

right triangles

trigonometry

geometry

hard

120 sec

Calculator OK

In right triangle ABC, angle B is the right angle. If the length of side AB is $a$ and the length of side BC is $b$ , what is the value of $sin (A) + cos (C)$ in terms of $a$ and $b$ ?

A.

$\frac{a + b}{a ^{2} + b ^{2}}$

B.

$\frac{2 b}{a ^{2} + b ^{2}}$

C.

$\frac{2 a}{a ^{2} + b ^{2}}$

D.

$\frac{a ^{2} + b ^{2}}{ab}$