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Hey there !!
✔✔ Hence, it is proved ✅✅.
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(cos@ cosec@ - sin@ sec@)/(cos@+sin@)
= {(cos@/sin@)-(sin@/cos@)}/(cos@+sin@)}
= {(cos^2@-sin^2@)/sin@cos@}/ ( cos@+sin@)
= {(cos@-sin@)(cos@+sin@)}/sin@cos@(cos@+sin@)
= (cos@-sin@)/sin@cos@
= (1/sin@)-(1/cos@)
= cosec@-sec@ proved
I put @ in place of theta .It is easy to understand .Hope it helps you .
= {(cos@/sin@)-(sin@/cos@)}/(cos@+sin@)}
= {(cos^2@-sin^2@)/sin@cos@}/ ( cos@+sin@)
= {(cos@-sin@)(cos@+sin@)}/sin@cos@(cos@+sin@)
= (cos@-sin@)/sin@cos@
= (1/sin@)-(1/cos@)
= cosec@-sec@ proved
I put @ in place of theta .It is easy to understand .Hope it helps you .
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