Question

Prove that(cos θ –sin θ + 1) / (cos θ + sin θ -1) = cosec θ + cot θ

Answer 1

Answer:

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red and eYou know that the Supreme Court and the High Courts in India settle disputes arising out of

governmental decisions. Some persons and associations opposed to this order filed a number of cases in

the courts. They appealed to the courts to declare the order invalid and stop its implementation. The

Supreme Court of India bunched all these cases together. This case was known as the ‘Indira Sawhney

and others Vs Union of India case’. Eleven judges of the Supreme Court heard arguments of both sides.

By a majority, the Supreme Court judges in 1992 declared that this order of the Government of India was

valid. At the same time the Supreme Court asked the government to modify its original order. It said that

well-todo persons among the backward classes should be excluded from getting the benefit of reservation.

Accordingly, the Department Personnel and Training issued another Office Memorandum on 8 September

1993. The dispute thus came to an end and this policy has been followed since then.

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i) Why was the case filed against the government of India? Give any one reason.

ii) Name the Prime minister who promised to implement the Mandal Commission report.

iii) What is the basic idea behind reservation policy ?

Answer 2

Step-by-step explanation:

Divide by Sin θ in numerator and denominator of LHS.

LHS = (cos θ –sin θ + 1) / (cos θ + sin θ -1)

= (cot θ - 1 + cosec θ) / (cot θ +1 - cosec θ)

Now rationalize it and use identity,

$1 + { ( \cotθ)}^{2} = {( \ \csc θ)}^{2}$

you get your answer.