Answer:
√5.
Step-by-step explanation:
Tan A = 1/2 means that the right triangle containing angle A has legs of length 1 and 2 units. So the hypotenuse = √(1^2 + 2^2) = √5 (using the Pythagoras theorem). The side opposite to < A = 1 unit and the adjacent side = 2 (as tan = opposite / adjacent).
so cos A = adjacent / hypotenuse = 2/√5.
and sin A = opposite / hypotenuse = 1 / √5
cos A / sin A = 2/√5 / 1/ √5 = 2.
sin A / (1 + cos A) = 1/√5 (1 + 2/ √5)
= 1 / √5 ( (√5 + 2) /√5)
= 1 / (√5 + 2)
So the answer is:
2 + 1 /(√5 + 2).
We can simplify it further by multiplying top and bottom of the fraction by the complement of √5 + 2 which is √5 - 2.
2 + 1 / (√5 + 2)
= 2(√5 + 2) + 1 / (√5 + 2 )
= { 2(√5 + 2) + 1 } / (√5 + 2)
Multiplying this by √5 - 2 / √5 - 2 we get:
(2(5 - 4) + √5 - 2) / (5 -4)
= 2 + √5 - 2 / 1
= √5.
Answer:
The answer is B
Step-by-step explanation:
I did rise over run
Answer:
1. 81 2. -20 3. 168 4. -24
Step-by-step explanation:
I hope this is right :)
Answer: Angles ABD and BAD (B)
Step-by-step explanation: Angles ABD BAD are not congruent angles, since they are the same angles.
Congruent angles are angles that both measure the same in degrees.
In this case, B is your correct answer since that answer has the same angle and not comparing any 2 angles, just the same one.
Hope This Helped, Have A Great Day!
36.96 with the formula 0.24 * 154 = 36.96
