Question

proof this trigonometric identity​

Answer 1

Answer:

To prove:

1-cos@/1+cos@ =(cot@-cosec@)²

Rhs:

(cot@-cosec@)²

=cot²@+cosec²@-2cot@cosec@

=cos²@/sin²@ + 1/sin²@ -2(cos@/sin@)(1/sin@)

=cos²@/sin²@ + 1/sin²@ -2cos@/sin²@

=(cos²@+1-2cos@)/sin²@

=(1-cos@)²/(1-cos²@)

=(1-cos@)²/(1-cos@)(1+cos@)

=1-cos@/1+cos@

=lhs

Hence proved

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