If 90o - - - 180o- sin- - 35- then sin 3- -

The correct option is A 117125 Given sinθ = 35 .Then sin 3θ =3sinθ 4sin^3θ [Using formula] =35(3 3625) =117125 . ...

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Standard XII

Mathematics

Property 7

If 90o < θ ...

Question

If $90^{o} < θ < 180^{o}, sin θ = \frac{3}{5}$ , then $sin 3 θ =$

\frac{117}{125}

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\frac{- 117}{125}

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\frac{- 125}{117}

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\frac{125}{117}

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Solution

The correct option is A $\frac{117}{125}$
Given $sin θ = \frac{3}{5}$ .
Then
$sin 3 θ$
$= 3 sin θ - 4 {sin}^{3} θ$ [Using formula]
$= \frac{3}{5} (3 - \frac{36}{25})$
$= \frac{117}{125}$ .

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Similar questions

{sin}^{- 1} (117 / 125)

is equal to

Q. Prove that

{sin}^{- 1} \frac{4}{5} + {sin}^{- 1} \frac{7}{25} = {sin}^{- 1} \frac{117}{125}

Express each of the following rational numbers as the sum of an integer and a rational number:
(i) $\frac{12}{5}$
(ii) $\frac{- 11}{7}$
(iii) $\frac{- 25}{9}$
(iv) $\frac{- 103}{20}$

Q. Study the pattern and write next step:

117 + 999 = 1, 116

117 + 9, 999 = 10, 116

117 + 99, 999 = 1, 00, 116

Q. Arun has

125

in his savings account. He withdraws a cheque of

117

, makes a deposit of

45

and then withdraws another cheque for

69

. Find the amount left in his account. (write the amount as an integer).

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If 90o<θ<180o,sinθ=35, then sin3θ=

The correct option is A 117125Given sinθ=35.Thensin3θ=3sinθ−4sin3θ [Using formula]=35(3−3625)=117125.

If $90^{o} < θ < 180^{o}, sin θ = \frac{3}{5}$ , then $sin 3 θ =$

The correct option is A $\frac{117}{125}$
Given $sin θ = \frac{3}{5}$ .
Then
$sin 3 θ$
$= 3 sin θ - 4 {sin}^{3} θ$ [Using formula]
$= \frac{3}{5} (3 - \frac{36}{25})$
$= \frac{117}{125}$ .