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anygoal [31]
2 years ago
12

Prove that sin(x)/1-cos(x) = 2 · csc(x) using trigonometric identities. Show all steps taken.

Mathematics
1 answer:
Gwar [14]2 years ago
7 0

Answer:

Step-by-step explanation:

sin(x) + tan(x)=sin(X) + sin(x)/cos(x)

=sinx(1+1/cosx)

=sinx(1+secx)

=1+secx/cosecx. (Since sinx=1/cosecx)

Hence LHS=RHS proved

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<u>Answer-</u>

2 is the upper limit for the zeros.

<u>Solution-</u>

The given function f(x) is,

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For calculating the zeros,

\Rightarrow f(x)=0

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\Rightarrow (x-2)(x^2(2x-3)-1(2x-3))=0

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\Rightarrow (x-2)(x+1)(x-1)(2x-3)=0

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\Rightarrow x=2,\ x=-1,\ x=1,\ x=\frac{3}{2}

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