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melisa1 [442]
3 years ago
7

I'm really having trouble simplifying trigonometric expressions, I understand the identities, but sometimes I get stuck, and rea

lly need an explanation
sint + tan t
________
tan t
Mathematics
1 answer:
Karolina [17]3 years ago
8 0
\bf \cfrac{sin(t)+tan(t)}{tan(t)}\impliedby \textit{distributing the denominator}
\\\\\\
\cfrac{sin(t)}{tan(t)}+\cfrac{tan(t)}{tan(t)}\implies \cfrac{sin(t)}{\frac{sin(t)}{cos(t)}}+1\implies 
\cfrac{\frac{sin(t)}{1}}{\frac{sin(t)}{cos(t)}}+1
\\\\\\
\cfrac{sin(t)}{1}\cdot \cfrac{cos(t)}{sin(t)}+1\implies cos(t)+1
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36 − 9m^2 factorized
STatiana [176]

Answer:

Step-by-step explanation:

Note that the expression is the difference of squares.

36 -  9m² = 6² - (3m)²

6² - (3m)² = (6 + 3m) (6 - 3m)

7 0
2 years ago
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Find the value of x. (Type an integer or decimal.)
SOVA2 [1]

Answer:

70

Step-by-step explanation:

An angle formed by 2 tangent lines is equal to one half the measure of the major arc minus the measure of the minor arc.

we are given the minor arc ( 110 ) however we are not given the major arc.

Because circles make a 360 degree rotation we can find the major arc by subtracting the measure of the minor arc from 360

Thus, major arc = 360 - 110 = 250

Now that we have identified the major and minor arc we can find x

Recall that x = 1/2 ( major arc - minor arc )

Thus, x = 1/2 ( 250 - 110 )

250 - 110 = 140

140 / 2 = 70

Hence, x = 70

6 0
2 years ago
What is the complement and the supplement of 52 degrees
motikmotik
Complimentary angles add up to 90 degrees and supplementary angles add up to 180 degrees...

Complementary angle = 90-52= 38°

Supplementary angle = 180-52= 128°
4 0
2 years ago
The value of x is ____ degrees, and the value of y is___degrees
solmaris [256]

Answer:

x = 112°, y = 68°

Step-by-step explanation:

68° and y are corresponding angles and are congruent, then

y = 68°

x and y are adjacent angles and are corresponding ( sum to 180° ), then

x + y = 180°

x + 68° = 180° ( subtract 68° from both sides )

x = 112°

8 0
3 years ago
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16+28+12=56

56+4=60

There were 60 total items for sale at the bake sale.
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3 years ago
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