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Marina CMI [18]
4 years ago
9

Prove this trigonometric identitysin ​3x/sin x - cos 3x/cos x =2

Mathematics
1 answer:
Sveta_85 [38]4 years ago
8 0

Step-by-step explanation:

LHS= sin 3x/sin x - cos 3x/cosx

Taking LCM,

<u>=</u><u>sin3xcosx- cos3xsinx</u>

sinxcosx

<u>=</u><u>sin(3x-x)</u>

sinxcosx

= <u>2sin2x</u>

2sinxcosx

=<u> </u><u>2sin2x</u><u> </u>

sin2x

=2

= RHS.

Proved.

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Can you plz help me real quick I want good grades so I don't disappoint ​
Goshia [24]

Answer:

x= 6

∠FGT = 55

∠GFE = 65

Step-by-step explanation:

4 0
3 years ago
Find the surface area of a sphere with a diameter of 30 m. Express your answer in terms of π.
shutvik [7]

Answer:

900π m2

Step-by-step explanation:

surface are of a sphere is 4π(r)^2

now diameter is 30m,so radius will be 15 m

how, 4π(15)^2=900π (m2)

8 0
3 years ago
Find the first three terms of the sequence below. Tn=n2+2n+9​
klasskru [66]

\\ \bull\tt\longrightarrow T_n=n^2+2n+9

\\ \bull\tt\longrightarrow T_1=1^2+2(1)+9=1+2+9=12

\\ \bull\tt\longrightarrow T_2=2^2+2(2)+9=4+4+9=17

\\ \bull\tt\longrightarrow T_3=3^2+2(3)+9=9+6+9=24

8 0
3 years ago
What is the third term of the sequence defined by the recursive rule f(1)=3 f(n)=f(n-1)+4
snow_tiger [21]
What is the third term of the sequence defined by the recursive rule f(1)=3 f(n)=f(n-1)+4

Need f(2):

f(2)=f(2-1)+4
f(2)=f(1)+4
f(2)=(3)+4=7

FIND f(3):
f(3)=f(3-1)+4
f(3)=f(2)+4
f(3)=(7)+4
f(3)=11
5 0
3 years ago
What is the area of the shaded region? (picture is below) pls help me :((
DedPeter [7]

Answer:

its 210

Step-by-step explanation:

area of rect is 20×12=240

tri angle area=1/2×5×12=30

so 240-30=210

HOPE THIS HELPS!!

:)

6 0
3 years ago
Read 2 more answers
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