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algol [13]
3 years ago
10

Find tan if sin theta= 1/4 and falls in Quadrant 2.

Mathematics
2 answers:
siniylev [52]3 years ago
8 0
Here we need to know SOH CAH TOA. So first thing first we know tan is negative in quadrant 2 because the x value is negative in quadrant to and since tan is opposite/adjacent (y/x) it will be negative. so now think of a standard graph with 4 quadrants. Now imagine or draw a diagonal line in quadrant 2. Now draw a dotted line straight down from the end of that point to the x axis creating a right triangle. theta is the angle closest to the origin of the graph. SO we know sinΘ= 1/4 and sin= opposite/hypotenuse. So the opposite line (the vertical one we drew down to touch the x axis) is 1 and the hypotenuse is 4. Well to find tan we need the adjacent line (horizontal) which we will find using the Pythagorean theorem
a² + b² = c²
1² + b² = 4²
1 + b² = 16
b² = 15
b =√15        so the adjacent side of our triangle is -√15 because remember we are in the 2nd quadrant which is a negative x. SO since tan= opposite/adjacent:
tan= 1/ -√15  or -1/√15       this could be your answer unless your teacher doesn't want radicals on the bottom of a fraction. to remove simply multiply the top and bottom by the radical.
-1/√15
(-1 × √15) / (√15 × √15)
-√15/15            is ur final answer






7nadin3 [17]3 years ago
6 0
If sinα=1/4 and it is in q2 it means that the x coordinate is negative.

The triangle has a height of one and a hypotenuse of 4 so:

x=-√(4^2-1)

x=-√15

so tanα=-1/√15

tanα=-√(1/15)

tanα≈ -0.258


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4 0
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zloy xaker [14]

Answer:

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6 0
3 years ago
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nydimaria [60]

Answer:

In every 42 days,  Sherman and Brad will go golfing on the same day.

Step-by-step explanation:

Given:

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In order to determine how many days unit Sherman and Brad will go golfing on the same day again, we will take least common multiple of 6 and 7.

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Naya [18.7K]

Answer:

The price of 1 adult ticket is $ 11 and price of 1 child ticket is $13

Step-by-step explanation:

Let x be the cost of 1 adult ticket

Let y be the cost of 1 child ticket

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Cost of 9 child tickets = 9y

We are given that A local kids play sold 8 adult tickets and 9 child tickets for a total of $205

So, 8x+9y=205 ----- 1

Cost of 4 adult tickets = 4x

Cost of 3 child tickets = 3y

We are given that 4 adult tickets and 3 child tickets for a total of $83.

4x+3y=83 ----2

Plot 1 and 2 on graph

8x+9y=205  -- Red line

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Intersection point provides the solution

So, Intersection point =(11,13)

So, The price of 1 adult ticket is $ 11 and price of 1 child ticket is $13

4 0
3 years ago
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