Answer:
answer is in exaplation
Step-by-step explanation:
cosA
+
cosA
1+sinA
=2secA
Step-by-step explanation:
\begin{lgathered}LHS = \frac{cosA}{1+sinA}+\frac{1+sinA}{cosA}\\=\frac{cos^{2}A+(1+sinA)^{2}}{(1+sinA)cosA}\\=\frac{cos^{2}A+1^{2}+sin^{2}A+2sinA}{(1+sinA)cosA}\\=\frac{(cos^{2}A+sin^{2}A)+1+2sinA}{(1+sinA)cosA}\\=\frac{1+1+2sinA}{(1+sinA)cosA}\end{lgathered}
LHS=
1+sinA
cosA
+
cosA
1+sinA
=
(1+sinA)cosA
cos
2
A+(1+sinA)
2
=
(1+sinA)cosA
cos
2
A+1
2
+sin
2
A+2sinA
=
(1+sinA)cosA
(cos
2
A+sin
2
A)+1+2sinA
=
(1+sinA)cosA
1+1+2sinA
/* By Trigonometric identity:
cos² A+ sin² A = 1 */
\begin{lgathered}=\frac{2+2sinA}{(1+sinA)cosA}\\=\frac{2(1+sinA)}{(1+sinA)cosA}\\\end{lgathered}
=
(1+sinA)cosA
2+2sinA
=
(1+sinA)cosA
2(1+sinA)
After cancellation,we get
\begin{lgathered}= \frac{2}{cosA}\\=2secA\\=RHS\end{lgathered}
=
cosA
2
=2secA
=RHS
Therefore,
\begin{lgathered}\frac{cosA}{1+sinA}+\frac{1+sinA}{cosA}\\=2secA\end{lgathered}
1+sinA
cosA
+
cosA
1+sinA
=2secA
Answer: The sum of a rational number and an irrational number is irrational.
Step-by-step explanation:An irrational number in decimal form goes forever without repeating.
Answer: 0.15p+1.59n ≤ 5.00
Step-by-step explanation:
Given: A pencil costs $0.15, and a The notebook costs $1.59.
Let p = Number of pencils.
n = Number of notebooks.
Total cost of pencil and notebook = 0.15p+1.59n
Since Mayumi has $5.00.
So, Total cost of pencil and notebook ≤ $5.00
⇒ 0.15p+1.59n ≤ 5.00
Hence, the required inequality: 0.15p+1.59n ≤ 5.00
of a foot.
Answer:
73.3
Step-by-step explanation:
Using the SOH CAH TOA identity
EF = hypotenuse= x
FG = opposite
GE = adjacent = 50feet
Cos 47 = adj/hyp
Cos 47 = 50/x
x = 50/cos47
x = 50/0.6819
x = 73.32
hence the length of EF is 73.3 feet to the nearest tenth
(2,3)
(-3,-1)
(2, -1)
The coordinates of the vertices of the image after the 90-degree counter- clockwise rotation about the origin is :
To perform a 90-degree counterclockwise rotation about the origin, follow these steps:
This means that the vertices will become :
( 2 , 3) ⇒ ( - 3, 2 )
( - 3, -1) ⇒ ( 1, -3 )
( 2, - 1) ⇒ ( 1, 2 )
Find out more on rotations at brainly.com/question/2271360
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76°
76°
F SSS
GSSA
H SAS
3
ASA
The relationship of congruency that describes that the given triangles are congruent is SAS.
We know two similar planer figures are congruent when we have sides or angles or both that are the same as the corresponding sides or angles or both.
Given, are two triangles with an included angle of 76° and the corresponding sides are congruent to each other.
∴ The relationship that shows that the triangles below are congruent are
side angle side or SAS.
learn more about congruency here :
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