Given that
Sin θ = a/b
LHS = Sec θ + Tan θ
⇛(1/Cos θ) + (Sin θ/ Cos θ)
⇛(1+Sin θ)/Cos θ
We know that
Sin² A + Cos² A = 1
⇛Cos² A = 1-Sin² A
⇛Cos A =√(1-Sin² A)
LHS = (1+Sin θ)/√(1- Sin² θ)
⇛ LHS = {1+(a/b)}/√{1-(a/b)²}
= {(b+a)/b}/√(1-(a²/b²))
= {(b+a)/b}/√{(b²-a²)/b²}
= {(b+a)/b}/√{(b²-a²)/b}
= (b+a)/√(b²-a²)
= √{(b+a)(b+a)/(b²-a²)}
⇛ LHS = √{(b+a)(b+a)/(b+a)(b-a)}
Now, (x+y)(x-y) = x²-y²
Where ,
On cancelling (b+a) then
⇛LHS = √{(b+a)/(b-a)}
⇛RHS
⇛ LHS = RHS
Sec θ + Tan θ = √{(b+a)/(b-a)}
Hence, Proved.
<u>Answer</u><u>:</u> If Sinθ=a/b then Secθ+Tanθ=√{(b+a)/(b-a)}.
<u>also</u><u> read</u><u> similar</u><u> questions</u><u>:</u><u>-</u> i) sin^2 A sec^2 B + tan^2 B cos^2 A = sin^2A + tan²B..
brainly.com/question/12997785?referrer
Sec x -tan x sin x =1/secx Help me prove it..
brainly.com/question/20791199?referrer
Answer:
Step-by-step explanation:
z° = 9x - 24 ( vertically opposite )
z° = 9(10) - 24
z° = 90 - 24
z° = 66°
<h3>Hope it is helpful.....</h3>
<u><em>Answer:</em></u>
<u>The simplest form would be:</u>
8c² - 1.5d
<u><em>Explanation:</em></u>
To simplify an expression, we need to <u>gather the like terms</u>.
Like terms are the ones having the same variable raised to the same power
<u>In the given expression:</u>
6c² + 2.5d - d + 2c² - 3d
We have terms having c² and terms having d.
<u>Therefore, we would gather them as follows:</u>
6c² + 2.5d - d + 2c² - 3d
(6+2)c² + (2.5-1-3)d
8c² - 1.5d ......................> This is the simplest form
Hope this helps :)
B because the sum of B is 15 and it is composite because 3*5=15
Answer:
The
3
mile cab ride includes a basic charge as well as the cost for the distance covered.
For a
6
mile trip, the cost is
$
4.80
which means that :
The cost of
3
miles is
$
4.80
−
$
3.00
=
$
1.80
Therefore the cost for
1
mile is
$
1.80
÷
3
=
$
0.60
The basic fee for hiring the cab is
$
3.00
−
$
1.80
=
$
1.20
So the total cost,
c
for a trip of
d
miles will be:
c
=
0.6
d
+
1.2
Check:
If
d
=
3
c
=
0.6
(
3
)
+
1.2
=
3
If
d
=
6
c
=
0.6
(
6
)
+
1.2
=
4.8
Step-by-step explanation:
