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32 questions · timed · auto-graded

Question 11 Mark
If the value of $\theta$ is increased then value of $\sin \theta$ is _______ (increased, decreased, minus) $\quad$
Answer
increased
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Question 31 Mark
_______ is the short form of cosecant $A$. $(\cos A, \operatorname{cosec} A, \sec A)$
Answer
$\operatorname{cosec} A$
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Question 41 Mark
If value of $\theta$ Is increased Then Value of $\cos \theta$ is _______ (increase, decrease, minus)
Answer
decrease
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Question 51 Mark
For an angle $\theta$ the value of $\sin \theta$ ........ when the value of theta increases. (increase, decrease, negative)
Answer
increase
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Question 61 Mark
For acute angle $\theta, \cos \theta=\sin \theta$ then $2 \tan ^2 \theta+\sin ^2 \theta+1=\ldots \ldots \ldots \quad\left(\frac{7}{2}, \frac{5}{2}, \frac{9}{2}\right)$
Answer
$\frac{7}{2}$
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Question 71 Mark
If $\tan ^2 \theta=\sin ^2 \theta+\cos ^2 \theta$ then $\theta=$………………... $\left(66^{\circ}, 45^{\circ}, 71^{\circ}\right)$
Answer
$45^{\circ}$
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Question 81 Mark
$\left(1+\tan ^2 \theta\right)\left(1-\cos ^2 \theta\right)=1$, then $\theta=$………………... $\left(47^{\circ}, 30^{\circ}, 45^{\circ}\right)$
Answer
$45^{\circ}$
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Question 121 Mark
The sum of all trigonometric ratios at angle $45^{\circ}$ is………………... $(3 \sqrt{2}+2,4 \sqrt{3}+1,1 \sqrt{3}+6)$
Answer
$3 \sqrt{2}+2$
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Question 131 Mark
$\sin \theta+\cos \theta=1.2$ then $\sin \theta \cos \theta=$………………...$(0.13,0.22,0.41)$
Answer
0.22
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Question 151 Mark
$\frac{\sin \theta}{1+\cos \theta}=\ldots \ldots \ldots .\left(\frac{1-\cos \theta}{\sin \theta}, \frac{1-\tan \theta}{\sec \theta}, \frac{3-\sin \theta}{\cos \theta}\right)$
Answer
$\frac{1-\cos \theta}{\sin \theta}$
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Question 161 Mark
$\tan 11 \cdot \tan 79-\sin ^2 \theta=\cos ^2 \theta+K$ then $K=$………………... $(0,3,5)$
Answer
$0$
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Question 171 Mark
$\sin ^2\left(\frac{x}{2}\right)+\cos ^2\left(\frac{x+30}{3}\right)=\tan 45^{\circ}$ then $x=$ ………………...$\left(60^{\circ}, 30^{\circ}, 10^{\circ}\right)$
Answer
$60^{\circ}$
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Question 181 Mark
If $\sin ^2 \theta-\cos ^2 \theta=0$ then $\theta=$ ………………...$\left(45^{\circ}, 60^{\circ}, 90^{\circ}\right)$
Answer
$45^{\circ}$
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Question 191 Mark
$\cos ^2 45^{\circ}-\cos ^2 30^{\circ}=x \cdot \cos 45^{\circ} \cdot \sin 45^{\circ}$ then $x=$………………... $\left(-\frac{1}{2},-\frac{3}{2},-\frac{5}{2}\right)$
Answer
$-\frac{1}{2}$
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Question 201 Mark
In $\triangle ABC , \angle B =90^{\circ}, AB : BC =3: 4$ then $\cos A =$………………... $\left(\frac{7}{8}, \frac{3}{5}, \frac{4}{7}\right)$
Answer
$\frac{3}{5}$
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Question 211 Mark
$\sin \theta=\frac{3}{5}$ then $\tan \theta=$………………... $\left(\frac{3}{5}, \frac{4}{3}, \frac{3}{4}\right)$
Answer
$\frac{3}{4}$
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Question 221 Mark
$\frac{\sec \theta}{\operatorname{cosec} \theta}=$.………………... $(\sec \theta, \tan \theta, \cos \theta)$
Answer
$\tan \theta$
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Question 231 Mark
$\frac{\sec \theta \cdot \cos \theta}{\tan \theta}=$………………... $(\cot \theta, \cos \theta, \sec \theta)$
Answer
$\cot \theta$
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Question 241 Mark
$\cos \theta=\frac{1}{2}$ then $\sin \theta \cdot \operatorname{cosec} \theta=$………………... $(1,3,5)$
Answer
1
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Question 251 Mark
$\frac{\tan \theta}{\sin \theta \cdot \operatorname{cosec} \theta}=$………………... $(\tan \theta, \sec \theta, \cos \theta)$
Answer
$\tan \theta$
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Question 281 Mark
In $\triangle ABC , \angle A =90^{\circ}$ then $\tan C =$………………... $(\sec B, \operatorname{cosec} B, \cot B)$
Answer
$\cot B$
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Question 291 Mark
$\sin \theta \cdot \tan \theta+\cos \theta=$ ……………….... ( $\sec \theta, \tan \theta, \cos \theta)$
Answer
$\sec \theta$
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Question 301 Mark
$\tan ^2 \theta=\frac{8}{7}$ then $\frac{(1+\sin \theta)(1-\sin \theta)}{(1+\cos \theta)(1-\cos \theta)}=$………………... $\left(\frac{3}{8}, \frac{7}{8}, \frac{1}{8}\right)$
Answer
$\frac{7}{8}$
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Question 311 Mark
$\tan \theta=\frac{4}{5}$ then $\frac{5 \sin \theta-4 \cos \theta}{5 \sin \theta+\cos \theta}=$…………….. $(0,1,8)$
Answer
$0$
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Question 321 Mark
$\sin 30^{\circ}=$___________.$\left(\frac{1}{2}, \frac{1}{\sqrt{2}}, \frac{\sqrt{3}}{2}\right)$
Answer
$\frac{1}{2}$
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Fill In The Blanks[1 Marks ] - Maths STD 10 Questions - Vidyadip