All categories

3 years ago

It’s PreCal I just need a method to solve it

Mathematics

1 answer:

Zarrin [17]3 years ago

7 0

Answer:

see explanation

Step-by-step explanation:

Using the identities

tanx = $\frac{sinx}{cosx}$ , cotx = $\frac{cosx}{sinx}$

Consider the left side

$\frac{tanx}{tanx+cotx}$

= $\frac{\frac{sinx}{cosx} }{\frac{sinx}{cosx}+\frac{cosx}{sinx} }$

= $\frac{\frac{sinx}{cosx} }{\frac{sin^2x+cos^2x}{cosxsinx} }$

= $\frac{\frac{sinx}{cosx} }{\frac{1}{cosxsinx} }$

= $\frac{sinx}{cosx}$ × $\frac{cosxsinx}{1}$ ← cancel cosx on numerator/ denominator

= sin²x

= right side

You might be interested in

Let f={(-1, 4),(1, 9),(4, 0)} and g={(-1, -8),(2, -7),(4, 8),(5, -9)}. Find g/f and state its domain.

tekilochka [14]

Answer:

g/f = {(-1, 2)}

domain of g/f = {-1}

Step-by-step explanation:

Given,

f = {(-1, 4),(1, 9),(4, 0)},

g = {(-1, -8),(2, -7),(4, 8),(5, -9)}

So, Domain of f = {-1, 1, 4},

Domain of g = {-1, 2, 4, 5}

Since,

$\frac{g}{f}(x) = \frac{g(x)}{f(x)}$

Thus, domain of g/f = Domain of f ∩ Domain of g = {-1, 4}

If x = -1,

$\frac{g}{f}(-1) = \frac{g(-1)}{f(-1)}=\frac{-8}{-4}=2$

If x = 4,

$\frac{g}{f}(4) = \frac{g(4)}{f(4)}=\frac{8}{0}=\infty (\text{ not possible})$

Hence, the domain of g/f = {-1}

And, g/f = {(-1, 2)}

4 0

3 years ago

Find the length of BC

Ivan

Answer:

13.3650978628

Step-by-step explanation:

Angle A=180-(Angle B+C)=180-117=63

Here,

b=BC, p=AC & AB=12

Using the relation of cos,

cosx=b/h

cos27=BC/15

15cos27=BC

Using a calculator,

BC=13.3650978628

6 0

3 years ago

Please help me with this I really need help r-12=25 :r=37

natta225 [31]

Answer:

it's self explanatory 25

Step-by-step explanation:

r -12 = 25

r = 37

37 - 12 = 25

6 0

3 years ago

A person flipped a coin 100 times and obtained 73 heads. Can the person conclude that the coin was unbalanced?

Kitty [74]

They can not, there are only 2 sides and they probably flipped it different ways. They got 'lucky'.

8 0

3 years ago

Read 2 more answers

The sides of a square field are 28 meters. A sprinkler in the center of the field sprays a circular area with a diameter that co

Ulleksa [173]

Answer:

168.24784 m²

Step-by-step explanation:

Area of the square:

28 x 28=784 sq. m.

Area of the circle:

π(r²)=π(14)²=196π

=615.75216

Area not covered by the sprinkler:

784-615.75216=168.24784 m²

6 0

3 years ago

Read 2 more answers