Applying the trig formula: sin a = cos (90 - a)
cos (2x + 8) = sin (x + 37) = cos (90 - x - 37) = cos (53 - x)
Property of the cosine function -->
(
2
x
+
8
)
=
±
(
53
−
x
)
a. 2x + 8 = 53 - x
3x = 45
x
=
15
∘
b. 2x + 8 = - 53 + x
x
=
−
61
∘
For general answers, add
k
360
∘
Check by calculator.
x = 15 --> sin (x + 37) = sin 52 = 0.788
cos (2x + 8) = cos (38) = 0.788. Proved
x = - 61 --> sin (x + 37) = sin (- 24) = - sin 24 = - 0.407
cos (2x + 8) = cos (-122 + 8) = cos (- 114) = - 0.407. Proved
Answer:
9 White marbles are present in the bag.
Step-by-step explanation:
Let the number of White marbles present in the bag be X and number of Yellow marbles present be Y .
Then according to the question ,
X + Y = 16 -(1) (As total marbles are 16)
Also,
X = 2Y - 5 -(2)
From Equation 1 , X = 16 - Y , Comparing with Equation 2 , we get,
16 - Y = 2Y - 5
3Y = 21.
Y = 7.
So, X = 16 - Y = 16 - 7 = 9.
Thus, 9 White marbles are present in the bag.
Answer: Your going to have to correct your placing of your numbers.
Answer:
(-8,12)
Step-by-step explanation: