જો $\sin \left( x + \frac{4\pi}{9} \right) = a$ અને $\frac{\pi}{9} < x < \frac{\pi}{3}$ હોય,તો $\cos \left( x + \frac{7\pi}{9} \right)$ ની કિંમત શોધો:
- A$\frac{\sqrt{1 - a^2} - a\sqrt{3}}{2}$
- B$\frac{1 - a^2 + a\sqrt{3}}{2}$
- C$\frac{a\sqrt{3} - \sqrt{1 - a^2}}{2}$
- D$\frac{-\sqrt{1 - a^2} - a\sqrt{3}}{2}$
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$\operatorname{cosec} 15^{\circ} + \sec 15^{\circ}$ ની કિંમત શોધો:
DifficultTS EAMCET 2006
View Solutionજો $\left[1-\cos \left(\frac{\pi}{2}+\alpha\right)+\sin \left(\frac{3 \pi}{2}+\alpha\right)\right]^2+\left[1-\sin \left(\frac{3 \pi}{2}-\alpha\right)-\cos \left(\frac{3 \pi}{2}+\alpha\right)\right]^2=a+b \sin ^2\left(\frac{\pi}{4}+\alpha\right)$,હોય તો $a^2+b^2=$
$\frac{\sin 55^{\circ} - \cos 55^{\circ}}{\sin 10^{\circ}}$ ની કિંમત શોધો.
$\tan A = \frac{-60}{11}$ અને $A$ એ $4^{\text{th}}$ ચરણમાં નથી. $\sec B = \frac{41}{9}$ અને $B$ એ $1^{\text{st}}$ ચરણમાં નથી. જો $\operatorname{cosec} A + \cot B = K$ હોય,તો $24K =$
જો $\sin A = \frac{-7}{25}$,$\cos B = \frac{8}{17}$,$A$ એ $3^{\text{rd}}$ ચરણમાં નથી અને $B$ એ $1^{\text{st}}$ ચરણમાં નથી,તો $8 \tan A - 5 \cot B =$
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