The value of sin cos -1 3 5 is-

The correct option is D 45 The value of #160;sin( cos ^ 1 3 5 #160; #160;) #160; =sin( sin ^ 1 ( √( 1 ( 3 / 5 #160;) #160;^ 2 ...

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Standard XII

Mathematics

Relation between Inverses of Trigonometric Functions and Their Reciprocal Functions

The value of ...

Question

The value of $sin ({cos}^{- 1} \frac{3}{5})$ is-

\frac{3}{5}

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\frac{4}{5}

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\frac{1}{5}

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none of these

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Solution

The correct option is D $\frac{4}{5}$
The value of $sin ({cos}^{- 1} \frac{3}{5})$
$= sin ({sin}^{- 1} (\sqrt{1 - {(\frac{3}{5})}^{2}}))$
$= sin ({sin}^{- 1} \frac{4}{5}) = \frac{4}{5}$

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Similar questions

If $a = \frac{\sqrt{5} + 1}{\sqrt{5} - 1} a n d b = \frac{\sqrt{5} - 1}{\sqrt{5} + 1}, t h e v a l u e o f (\frac{a^{2} + a b + b^{2}}{a^{2} - a b + b^{2}})$ is :

S i n (c o s^{- 1} \frac{3}{5}) + s i n (\frac{π}{2} - s i n^{- 1} (- \frac{\sqrt{3}}{2})) =

Q. The values of x satisfying

tan ({sec}^{- 1} x) = sin ({cos}^{- 1} \frac{1}{\sqrt{5}})

${(\frac{- 5}{3})}^{- 1} = ?$

$(a) \frac{5}{3}$

$(b) \frac{3}{5}$

$(C) \frac{- 3}{5}$

(d)None of these

Q. The value of the expression

^{47} C_{4} + \sum_{j = 1}^{5}^{52 - j} C_{3}

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The value of sin(cos−135) is-

The correct option is D 45The value of sin(cos−135)=sin(sin−1(√1−(35)2))=sin(sin−145)=45

The value of $sin ({cos}^{- 1} \frac{3}{5})$ is-

The correct option is D $\frac{4}{5}$
The value of $sin ({cos}^{- 1} \frac{3}{5})$
$= sin ({sin}^{- 1} (\sqrt{1 - {(\frac{3}{5})}^{2}}))$
$= sin ({sin}^{- 1} \frac{4}{5}) = \frac{4}{5}$