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adell [148]
3 years ago
15

What is the value of sin2a + cos2a + sec2a-tan2a Please

Mathematics
1 answer:
Artemon [7]3 years ago
5 0

Answer:

2

Step-by-step explanation:

sin²a + cos²a + sec²a - tan²a

sin²a + cos²a = 1

1 + tan²a = sec²a

So, sec²a - tan²a = 1

sin²a + cos²a + sec²a - tan²a

= 1 + 1 = 2

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If the area of the larger circle is 25 times the area of the smaller circle, then the radius of the larger circle is how many ti
IrinaVladis [17]

Answer:

easy peasy (again)

Step-by-step explanation:

given is that, area of the larger one is 25 times more than the smaller one

so, just put it in the area formula,

let the radius of the larger circle be represented by = R

and of the smaller circle be = r

then, (pi) (R)^2 =25 x (pi) (r)^2

=> dividing the equation by pi on both sides, also taking square root on both sides

=> R = 25 r

that would be the radius of the larger circle is 25 times bigger than the smaller radius

(all u need is to pay attention to the data given in the question and the relation between all that data itself) then it'll look like magic of how the question gets solved...the answer is always in front of you, only thing is to look harder ...good luck with what you are aiming to achieve

3 0
3 years ago
T-4t^2+2t^3 what is the degree of the polynomial
11111nata11111 [884]

Answer:

3

Step-by-step explanation:

three

8 0
3 years ago
Read 2 more answers
Find the measure of the the sides of DEF then classify it by it sides. <br> D(8,-6) E(-1,-3) F(-2,5)
Mama L [17]

Answer:

Part a) The measure of the sides of triangle DEF are

d_D_E=\sqrt{90}\ units

d_E_F=\sqrt{65}\ units

d_D_F=\sqrt{221}\ units

Part b) Is a scalene triangle

Step-by-step explanation:

we know that

the formula to calculate the distance between two points is equal to

d=\sqrt{(y2-y1)^{2}+(x2-x1)^{2}}

we have the coordinates

D(8,-6) E(-1,-3) F(-2,5)

step 1

Find the length side DE

D(8,-6) E(-1,-3)

substitute in the formula

d=\sqrt{(-3+6)^{2}+(-1-8)^{2}}

d=\sqrt{(3)^{2}+(9)^{2}}

d_D_E=\sqrt{90}\ units

step 2

Find the length side EF

E(-1,-3) F(-2,5)

substitute in the formula

d=\sqrt{(5+3)^{2}+(-2+1)^{2}}

d=\sqrt{(8)^{2}+(-1)^{2}}

d_E_F=\sqrt{65}\ units

step 3

Find the length side DF

D(8,-6) F(-2,5)

substitute in the formula

d=\sqrt{(5+6)^{2}+(-2-8)^{2}}

d=\sqrt{(11)^{2}+(-10)^{2}}

d_D_F=\sqrt{221}\ units

step 4

Classify the triangle by the measure of its sides

we have

d_D_E=\sqrt{90}\ units

d_E_F=\sqrt{65}\ units

d_D_F=\sqrt{221}\ units

so

Is a scalene triangle, because is a triangle in which all three sides have different lengths.

6 0
3 years ago
Howard Slater age 44 an actor expected his income to the coin future years he decides to take out a 20-year payment life policy
SpyIntel [72]

Answer:

Individuals end to continue paying the premiums of the automobile insurance as a habit. However, serious thoughts and putting in element of strategizing helps to reduce the premium in most cases. At times, there is a sudden like on the part of the insurer even for a flawless driver.

A good look up and research of the insurance websites can be of real help in comparing whether a better deal is offered by the other insurance companies, or whether a certain change in the policy or small adjustments of the term would give benefit to the customer.

In case a speeding ticket is received, or an accident is mentioned in the driving history, it is maintained there in for a period of three to five years. Thus, the premium increases substantially. A change of insurer is advised in such situations, where a major search for an insurer, who does not pay that much importance to these details, is to be carried on.

Again, having a teenager driver in the family calls for a caution as the insurance premium increases drastically in such occasion. Having clean driving record of the parents, or kids commuting to far away schools without cars help in such situation.

5 0
3 years ago
Which property can be justified using the ratios in triangle XYZ ?
Alenkasestr [34]
The correct answer is B.

Determine and recall first the trigonometric functions:

Sin A = Opposite/Hypotenuse
Cos A = Adjacent/Hypotenuse
Tangent = Opposite/Adjacent

If for example we try to take an angle, for example the Y, then Y is opposite Y. The Hypotenuse will be the longer side which is going to denoted by X and the next side will be Adjacent which will be denoted by Z. 

Use this test to answer:

Sin Y = Y/X

where:

Y = opposite
X = hypotenuse 

Cos (90 - y) = cos (90 - 50) = cos 40

where Z = 40
we look for cos Z = Y/X

Therefore,

Sin Y = Cos (90 - Y) 

6 0
3 years ago
Read 2 more answers
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