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Vicky Walla
Vicky Walla
Asked: 3 years agoIn: Trigonometry

Find the domain of the inverse trigonometric function \({\sin ^{ – 1}}\left( {2x\sqrt {1 – {x^2}} } \right)\) is,
1. \(\left[ { – 1,1} \right]\)
2. \(\left[ {0,\frac{1}{2}} \right]\)
3. \(\left[ { – \frac{1}{{\sqrt 2 }},\frac{1}{{\sqrt 2 }}} \right]\)
4. \(\left[ { – \frac{1}{2},\frac{1}{2}} \right]\)

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Preet Rao Dani
Preet Rao Dani
Asked: 3 years agoIn: Trigonometry

If \(\cot x = \dfrac{5}{12}\) , then sin x + cos x = ?

A. \(\dfrac{31}{17}\)

B. \(\dfrac{27}{13}\)

C. \(\dfrac{13}{17}\)

D. \(\dfrac{17}{13}\) 


1. B
2. D
3. C
4. A

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Veena Tailor
Veena Tailor
Asked: 3 years agoIn: Trigonometry

यदि `xsin^(3)theta+ycos^(3)theta=sinthetacostheta` हो और `xsintheta-ycostheta=0` हो तो `x^(2)+y^(2)` का मान बताइए ?
A. 1
B. 2
C. `1//2`
D. `3//2`

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Seema Suri
Seema Suri
Asked: 3 years agoIn: Trigonometry

If `(sin theta+cos theta)/(sin theta-cos theta)` then the value of `sin^(4)theta` is
A. `(16)/(25)`
B. `(2)/(5)`
C. `(1)/(5)`
D. `(3)/(5)`

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Drishti Satishwar Nori
Drishti Satishwar Nori
Asked: 3 years agoIn: Trigonometry

The value of esxpression
`sin^(2)1^(@)+sin^(2)11^(@)+sin^(2)21^(@)+sin^(2)31^(@)+sin^(2)41^(@)+sin^(2)45^(@)+sin^(2)49^(@)+sin^(2)59^(@)+sin^(2)69^(@)+sin^(2)79^(@)+sin^(2)89^(@)` is

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Swati Jawahar Padmanabhan
Swati Jawahar Padmanabhan
Asked: 3 years agoIn: Trigonometry

If \(\rm x+y=\frac{\pi}{4}\), then the value of (1 + tan x)(1 + tan y) is:

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Nancy Jaswant Chatterjee
Nancy Jaswant Chatterjee
Asked: 3 years agoIn: Trigonometry

if `tan2theta.tan3theta=1,` where `0^(@) lt theta lt 90^(@)` then the value of `theta` is
A. `22(1)/(2)^(@)`
B. `18^(@)`
C. `24^(@)`
D. `30^(@)`

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Esha Ramachandran
Esha Ramachandran
Asked: 3 years agoIn: Trigonometry

Find the value of the given expression \(\frac{{cos\theta \; + \;sin\theta }}{{\sqrt {1\; + \;sin2\theta } }}\)
1. sinθ + cosθ 
2. 0
3. 1
4. sinθ – cosθ

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Prerna Satish Chaudry
Prerna Satish Chaudry
Asked: 3 years agoIn: Trigonometry

if `tantheta=1` then the value of `(8sintheta+5costheta)/(sin^(3)theta-2cos^(3)theta+7costheta)` is
A. 2
B. `2(1)/(2)`
C. 3
D. `(4)/(3)`

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Kalpit Rao Khalsa
Kalpit Rao Khalsa
Asked: 3 years agoIn: Trigonometry

tanα = a/b then the value of Sinα + Cosα is:
1. \(\sqrt{a^2 + b^2} \over {a + b}\)
2. \({a + b} \over \sqrt{a^2 + b^2}\)
3. \(\sqrt{a^2 – b^2} \over {a + b}\)
4. \({a + b} \over \sqrt{a^2 – b^2}\)

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