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QUESTION: 1

Evaluate

Solution:

QUESTION: 2

Value of

Solution:

Cot^{-1}[sin(-90)] =cot^{-1}(-1) =π-cot^{-1}(1) =π-π/4 =3π/4

QUESTION: 3

The value of is given by

Solution:

QUESTION: 4

The principal value of tan^{-1} (-1) is given by

Solution:

QUESTION: 5

if 5 sin θ = 3, then is equal to

Solution:

SinQ is 3/5.

on simplifying:

(secQ+tanQ)/(secQ-tanQ)

We get...(1+sinQ)/(1-sinQ)

=(1+3/5)/(1-3/5)

=(8/2)

=4

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