(A) We know that $\sin \theta + \cos \theta = \sqrt{2} \sin(\theta + 45^{\circ})$.For $A$,$\theta = 45^{\circ}$,so $A = \sqrt{2} \sin(45^{\circ} + 45^

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(A) We know that $\sin \theta + \cos \theta = \sqrt{2} \sin(\theta + 45^{\circ})$.For $A$,$\theta = 45^{\circ}$,so $A = \sqrt{2} \sin(45^{\circ} + 45^{\circ}) = \sqrt{2} \sin 90^{\circ} = \sqrt{2}(1) = \sqrt{2}$.For $B$,$\theta = 44^{\circ}$,so $B = \sqrt{2} \sin(44^{\circ} + 45^{\circ}) = \sqrt{2} \sin 89^{\circ}$.Since $\sin 89^{\circ} Therefore,$B B$.

Class 11 Mathematics Trigonometrical Ratios, Functions and Identities Fundamental trigonometrical ratios and functions, Trigonometrical ratio of allied angles

If $A = \sin 45^{\circ} + \cos 45^{\circ}$ and $B = \sin 44^{\circ} + \cos 44^{\circ}$,then

A
$A > B$
B
$A < B$
C
$A = B$
D
none of these

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Chapter

Trigonometrical Ratios, Functions and Identities

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Fundamental trigonometrical ratios and functions, Trigonometrical ratio of allied angles

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Find the values of the other five trigonometric functions if $\sin x = \frac{3}{5}$ and $x$ lies in the second quadrant.

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If $A = \sin 45^{\circ} + \cos 45^{\circ}$ and $B = \sin 44^{\circ} + \cos 44^{\circ}$,then

Similar Questions

Which of the following is not correct?

If $\sin \left( x + \frac{4\pi}{9} \right) = a$ and $\frac{\pi}{9} < x < \frac{\pi}{3}$,then $\cos \left( x + \frac{7\pi}{9} \right)$ equals:

$\frac{\sin ^2(-160^{\circ})}{\sin ^2 70^{\circ}} + \frac{\sin (180^{\circ}-\theta)}{\sin \theta} = $

If $\sin (\alpha - \beta ) = \frac{1}{2}$ and $\cos (\alpha + \beta ) = \frac{1}{2},$ where $\alpha$ and $\beta$ are positive acute angles,then:

Find the values of the other five trigonometric functions if $\sin x = \frac{3}{5}$ and $x$ lies in the second quadrant.

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