show that 1 + sec theta by sec theta is equal to sin square theta by 1 - cos theta
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Answer:
easily proved
Step-by-step explanation:
1 + sec theta by sec theta is equal to 1+cos theta
now
multiply num. and deno. by (1-cos theta)
ans get ur ans.
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LHS = 1+sec theta/ sec theta
= 1/ sec theta +1
= cos theta +1
RHS= sin^2 theta / 1- cos theta
= 1- cos^ theta / 1- cos theta
= (1+ cos theta × 1- cos theta)/ 1- cos theta
= 1 + cos theta = LHS
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