Download App

Mathematics MCQ

Trigonometrical Identities · ICSE STD 10 (ICSE - English Medium). 23 questions.

Questions

MCQ

🎯

Test yourself on this topic

23 questions · timed · auto-graded

MCQ 11 Mark
Simplified form of $\frac{3-\tan \theta}{3 \operatorname{cosec} \theta-\sec \theta}$ is :
  • A
    $\cos \theta$
  • B
    $\sin \theta$
  • C
    $\operatorname{cosec} \theta$
  • D
    $\tan \theta$
Answer
Self
View full question & answer→
MCQ 31 Mark
$(\sec \theta+\tan \theta)(1-\sin \theta)=$
  • A
    $\sec \theta$
  • B
    $\sin \theta$
  • C
    $\operatorname{cosec} \theta$
  • D
    $\cos \theta$
Answer
Self
View full question & answer→
MCQ 101 Mark
If $\sec \theta+\tan \theta=p$, then $\frac{p^2-1}{p^2+1}=$
  • A
    $\tan \theta$
  • B
    $\cos \theta$
  • C
    $\sin \theta$
  • D
    $\operatorname{cosec} \theta$
Answer
Self
View full question & answer→
MCQ 121 Mark
$\frac{\cos \theta}{1-\sin \theta}+\frac{\cos \theta}{1+\sin \theta}=$
  • A
    $2 \sin \theta$
  • B
    $2 \cos \theta$
  • C
    $2 \cos \theta$
  • D
    $2 \sec \theta$
Answer
Self
View full question & answer→
MCQ 131 Mark
$\frac{\sin \theta}{1+\cos \theta}+\frac{1+\cos \theta}{\sin \theta}=$
  • A
    $2 \sin \theta$
  • B
    $2 \cos \theta$
  • C
    $2 \tan \theta$
  • D
    $2 \operatorname{cosec} \theta$
Answer
Self
View full question & answer→
MCQ 141 Mark
$(\sin \alpha+\cos \alpha)(\tan \alpha+\cot \alpha)=$
  • A
    $\sec \alpha+\tan \alpha$
  • B
    $\sec \alpha$
  • C
    $\sec \alpha+\operatorname{cosec} \alpha$
  • D
    $\operatorname{cosec} \alpha$
Answer
Self
View full question & answer→
MCQ 151 Mark
If $\sin \theta+2 \cos \theta=1$, then the value of $2 \sin \theta-\cos \theta$ is:
  • A
    1
  • B
    2
  • C
    $\sqrt{2}$
  • D
    0
Answer
Self
View full question & answer→
MCQ 161 Mark
$\frac{\operatorname{cosec}^2 \mathrm{~A}}{1+\cot ^2 \mathrm{~A}}$ is equal to :
  • A
    0
  • B
    $\operatorname{cosec} \mathrm{A}$
  • C
    1
  • D
    $\cot \mathrm{A}$
Answer
Self
View full question & answer→
MCQ 171 Mark
If $\cos \theta+\sin \theta=\sqrt{2} \cos \theta$, then the value of $\cos \theta-\sin \theta$ is :
  • A
    $\sqrt{2} \cos \theta$
  • B
    $\sin \theta$
  • C
    $\sqrt{2} \sin \theta$
  • D
    $\cos \theta$
Answer
Self
View full question & answer→
MCQ 181 Mark
If $\sin \theta+\cos \theta=a$ and $\sec \theta+\operatorname{cosec} \theta=b$, then the value of $b\left(a^2-1\right)$ is :
  • A
    $2 a$
  • B
    $a+b$
  • C
    $2 b$
  • D
    $a-b$
Answer
Self
View full question & answer→
MCQ 191 Mark
$\sqrt{\frac{\sec \theta-1}{\sec \theta+1}}+\sqrt{\frac{\sec \theta+1}{\sec \theta-1}}$ is equal to:
  • A
    $2 \operatorname{cosec} \theta$
  • B
    $2 \sec \theta$
  • C
    $2 \tan \theta$
  • D
    $2 \sin \theta$
Answer
Self
View full question & answer→
MCQ 201 Mark
$\left(\sec ^2 \theta-1\right)\left(1-\operatorname{cosec}^2 \theta\right)$ is equal to:
  • A
    -1
  • B
    $\cot \theta$
  • C
    0
  • D
    $\operatorname{cosec} \theta$
Answer
Self
View full question & answer→
MCQ 211 Mark
If $\tan A=\cot B$, then:
  • A
    $\mathrm{A}-\mathrm{B}=90^{\circ}$
  • B
    $\mathrm{A}=\mathrm{B}=90^{\circ}$
  • C
    $\mathrm{A}+\mathrm{B}=90^{\circ}$
  • D
    $\mathrm{B}-\mathrm{A}=90^{\circ}$
Answer
Self
View full question & answer→
MCQ 221 Mark
$\frac{\sin A-2 \sin ^3 A}{2 \cos ^3 A-\cos A}$ is equal to :
  • A
    $\sec \mathrm{A}$
  • B
    $\tan \mathrm{A}$
  • C
    $\cot \mathrm{A}$
  • D
    1
Answer
Self
View full question & answer→
Generate Paper FreeAll Trigonometrical Identities topics
MCQ - Mathematics STD 10 Questions - Vidyadip