INTRODUCTION TO TRIGONOMETRY Test

INTRODUCTION TO TRIGONOMETRY

This is INTRODUCTION TO TRIGONOMETRY Test-03 for CBSE class 10 Maths.. There are 15 questions in this test with each question having around four answer choices.

Questions & Answers

1
If \(\sqrt 3 \tan \theta = 3\sin \theta \), then the value of \({\sin ^2}\theta - {\cos ^2}\theta \) is
  • A
    0
  • B
    \(\frac{1}{3}\)
    Correct
  • C
    1
  • D
    \(\frac{1}{2}\)
2
\(If\;\;\;sin{\text{ }}\theta {\text{ }}--{\text{ }}cos{\text{ }}\theta {\text{ }} = {\text{ }}0,\) vthen the value of is
  • A
    \(45^\circ \)
    Correct
  • B
    \(30^\circ \)
  • C
    \(60^\circ \)
  • D
    \(90^\circ \)
3
The value of \(\frac{{\tan 45^\circ }}{{\cos ec30^\circ }} + \frac{{\sec 60^\circ }}{{\cot 45^\circ }} - \frac{{5\sin 90^\circ }}{{2\cos 0^\circ }}\) is
  • A
    0
    Correct
  • B
    10
  • C
    1
  • D
    2
4
If \(sin{\text{ }}\theta {\text{ }}--{\text{ }}cos{\text{ }}\theta {\text{ }} = {\text{ }}0,\) then the value of \({\sin ^4}\theta + {\cos ^4}\theta \) is
  • A
    \(\frac{1}{2}\)
    Correct
  • B
    \(\frac{1}{4}\)
  • C
    \(\sqrt 2 \)
  • D
    \(\frac{1}{3}\)
5
The value of tan \(1^\circ \) \(tan{\text{ }}2^\circ tan{\text{ }}3^\circ \ldots \ldots \ldots \ldots {\text{ }}tan{\text{ }}89^\circ \) is
  • A
    0
  • B
    \(\frac{1}{2}\)
  • C
    1
    Correct
  • D
    none of these
6
If \(\Delta ABC\) is right angled at C, then the value of cos (A + B) is
  • A
    1
  • B
    \(\sqrt 2 \)
  • C
    0
    Correct
  • D
    \(\frac{1}{2}\)
7
The value of \(cos{\text{ }}48^\circ \;--\;sin{\text{ }}42^\circ \) is
  • A
    \(\sqrt 2 \)
  • B
    0
    Correct
  • C
    \(\frac{1}{2}\)
  • D
    1
8
If A and B are acute angles and tan A = cot B, then the value of (A + B) is
  • A
    \(30^\circ \)
  • B
    \(0^\circ \)
  • C
    \(90^\circ \)
    Correct
  • D
    \(60^\circ \)
9
If \(tan{\text{ }}2A{\text{ }} = {\text{ }}cot{\text{ }}(A\;--\;18^\circ ),\) the then value of ‘A’ is
  • A
    \(0^\circ \)
  • B
    \(36^\circ \)
    Correct
  • C
    \(63^\circ \)
  • D
    \(18^\circ \)
10
If \(\Delta PQR\) is right angled at Q, then the value of sin (P + R) is
  • A
    \(\frac{1}{2}\)
  • B
    0
    Correct
  • C
    \(\sqrt 2 \)
  • D
    1
11
If A and B are acute angles and sin A = cos B, then the value of (A + B) is
  • A
    \(0^\circ \)
  • B
    \(60^\circ \)
  • C
    \(90^\circ \)
    Correct
  • D
    \(30^\circ \)
12
The value of \(tan15^\circ tan20^\circ tan70^\circ tan75^\circ \) is
  • A
    2
  • B
    1
    Correct
  • C
    0
  • D
    -1
13
If A, B and C are interior angles of a triangle ABC, then the value of \(\sin \left( {\frac{{B + C}}{2}} \right)\) is
  • A
    \(\cos \frac{A}{2}\)
    Correct
  • B
    \(\tan \frac{A}{2}\)
  • C
    \(\sin \frac{A}{2}\)
  • D
    none of these
14
The value of \(tan(55^\circ \;--\;\theta ){\text{ }}--{\text{ }}cot(35^\circ + {\text{ }}\theta )\) is
  • A
    – 1
  • B
    0
    Correct
  • C
    1
  • D
    \(\sqrt 2 \)
15
If \(cos{\text{ }}9\alpha {\text{ }} = {\text{ }}sin{\text{ }}\alpha ,\) then the value of is
  • A
    \(0^\circ \)
  • B
    \(30^\circ \)
  • C
    \(10^\circ \)
    Correct
  • D
    \(20^\circ \)