The value of sin222- - sin268-cos222- - cos268- - sin263- - cos 63- sin27-

((sin^222^∘ + sin^268^∘/cos^222^∘ + cos^268^∘) + nbsp;sin^263^∘ nbsp; + cos 63^∘ sin27^∘) =((sin^222^∘ + sin^2(90 22)^∘/cos^2(90 68)^∘ + cos^268^∘) + ...

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Byju's Answer

Standard XII

Mathematics

Sign of Trigonometric Ratios in Different Quadrants

The value of ...

Question

The value of $((\frac{s i n^{2} 22^{\circ} + s i n^{2} 68^{\circ}}{c o s^{2} 22^{\circ} + c o s^{2} 68^{\circ}}) + s i n^{2} 63^{\circ} + c o s 63^{\circ} s i n 27^{\circ})$

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Solution

The correct option is C 2
$((\frac{s i n^{2} 22^{\circ} + s i n^{2} 68^{\circ}}{c o s^{2} 22^{\circ} + c o s^{2} 68^{\circ}}) + s i n^{2} 63^{\circ} + c o s 63^{\circ} s i n 27^{\circ})$

$= ((\frac{s i n^{2} 22^{\circ} + s i n^{2} (90 - 22)^{\circ}}{c o s^{2} (90 - 68)^{\circ} + c o s^{2} 68^{\circ}}) + s i n^{2} 63^{\circ} + c o s 63^{\circ} s i n (90 - 63)^{\circ})$

$= ((\frac{s i n^{2} 22^{\circ} + c o s^{2} 22^{\circ}}{s i n^{2} 68^{\circ} + c o s^{2} 68^{\circ}}) + s i n^{2} 63^{\circ} + c o s^{2} 63^{\circ})$

$= (1 + 1)$
$= 2$

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Similar questions

\{\frac{\sin^{2} 22 ° + \sin^{2} 68 °}{\cos^{2} 22 ° + \cos^{2} 68 °} + \sin^{2} 63 ° + \cos 63 ° \sin 27 °\}

Q. The value of the expression

\{\frac{\sin^{2} 22 ° + \sin^{2} 68 °}{\cos^{2} 22 ° + \cos^{2} 68 °} + \sin^{2} 63 ° + \cos 63 ° \sin 27 °\}

is ________.

\{\frac{(\sin^{2} 22 ° + \sin^{2} 68 °)}{(\cos^{2} 22 ° + \cos^{2} 68 °)} + \sin^{2} 63 ° + \cos 63 ° \sin 27\} = ?

(a) 0
(b) 1
(c) 2
(d) 3

Q. Question 11
The value of the expression

(\frac{s i n^{2} 22^{\circ} + s i n^{2} 68^{\circ}}{c o s^{2} 22^{\circ} + c o s^{2} 68^{\circ}} + s i n^{2} 63^{\circ} + c o s 63^{\circ} 27^{\circ})

is

(A) 3
(B) 2
(C) 1
(D) 0

${\frac{(s i n^{2} 22^{o} + s i n^{2} 68^{o})}{(c o s^{2} 22^{o} + c o s^{2} 68^{o})} + s i n^{2} 63^{o} + c o s 63^{o} s i n 27^{o}}$ = ?

(a) 0 (b) 1 (c) 2 (d) 3

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The value of ((sin222∘+sin268∘cos222∘+cos268∘)+sin263∘+cos63∘sin27∘)

The correct option is C 2((sin222∘+sin268∘cos222∘+cos268∘)+sin263∘+cos63∘sin27∘) =((sin222∘+sin2(90−22)∘cos2(90−68)∘+cos268∘)+sin263∘+cos63∘sin(90−63)∘) =((sin222∘+cos222∘sin268∘+cos268∘)+sin263∘+cos263∘) =(1+1) =2

The value of $((\frac{s i n^{2} 22^{\circ} + s i n^{2} 68^{\circ}}{c o s^{2} 22^{\circ} + c o s^{2} 68^{\circ}}) + s i n^{2} 63^{\circ} + c o s 63^{\circ} s i n 27^{\circ})$