CBSE Questions for Class 10 Maths Introduction To Trigonometry Quiz 2 - MCQExams.com

$$\dfrac{1}{\sec{\theta}} =$$ _____ for an acute angle $$\theta$$ in a right angled triangle.
  • $$\cos{\theta}$$
  • $$\sin{\theta}$$
  • $$\tan{\theta}$$
  • None of these
The value of $$\displaystyle\frac{\cot{40^\circ}}{\tan{50^\circ}}-\frac{1}{2}\left(\frac{\cos{35^\circ}}{\sin{55^\circ}}\right)$$ is ____________.
  • $$\displaystyle\frac{1}{\sqrt{2}}$$
  • 0
  • 1
  • $$\displaystyle\frac{1}{2}$$
For an acute angle $$\theta$$ in a right angled triangle, $$\dfrac{1}{\text{cosec}\,{\theta}} =$$
  • $$\sin{\theta}$$
  • $$\cos{\theta}$$
  • $$\tan{\theta}$$
  • None of these
The history of trigonometry goes back to the earliest recorded mathematics in Egypt and _____.
  • German
  • Indian
  • Babylon
  • Japanese
Trigonometry is used mainly due to the purpose of time keeping and _____.
  • space
  • stars
  • astronomy
  • planets
Trigonometry is a branch of mathematics that studies relationships involving lengths and ______ of triangles.
  • radian
  • degree
  • angle
  • vector
The term trigonometry was first invented by the German mathematician ______.
  • William Rowan Hamilton
  • Euclid
  • Newton
  • Bartholomaeus Pitiscus
The first recorded use of trigonometry came from the Hellenistic mathematician ________________.
  • William Rowan Hamilton
  • Hipparchus
  • Newton
  • Bartholomaeus Pitiscus
What is the value of $$\cos\theta \times\sec\theta$$ ?
  • $$4$$
  • $$3$$
  • $$2$$
  • $$1$$
Triangle measurement is called as _______.
  • pythagoras
  • trigonometry
  • calculus
  • area of square
Who is the founder of trigonometry?
  • Euclid
  • Issac Newton
  • William Rowan Hamilton
  • Hipparchus
______ mathematicians created the trigonometry system based on the sine function instead of the chords.
  • Greek
  • Indian
  • German
  • Egyptian
In the early 9th century AD, _________ produced accurate sine and cosine tables, and the first table of tangents.
  • Habash al-Hasib al-Marwazi
  • Muhammad ibn Jabir al-Harrani al-Battani
  • Muhammad ibn Musa al-Khwarizmi
  • Abu al-Wafa al-Buzjani
Given $$\tan \theta = 1,$$ which of the following is not equal to $$\tan$$ $$\theta\ ?$$
  • $$\sin 0^\circ$$
  • $$\sin 90^\circ$$
  • $$\cot 45^\circ$$
  • $$\cos 0^\circ$$
If $$\tan 5\theta . \tan4 \theta =1$$  then $$\theta =$$________.
  • $$10$$
  • $$3$$
  • $$7$$
  • $$9$$
$$\cos{{12}^{\circ}}-\sin{{78}^{\circ}}=$$
  • $$1$$
  • $$\cfrac{1}{2}$$
  • $$0$$
  • $$-1$$
State the following statement is true or false
$$cosec \theta = \sqrt {1 + \cot^{2}\theta}$$
  • True
  • False
The value of $$\sin 60^{\circ} - \cos 30^{\circ}$$ is
  • $$0$$
  • $$\dfrac {1}{\sqrt {2}}$$
  • $$\dfrac {\sqrt {3}}{2}$$
  • $$1$$
Solve $$\dfrac{\tan{\theta}}{1-\cot{\theta}}+\dfrac{\cot{\theta}}{1-\tan{\theta}}$$
  • $$1+\tan\theta+\cot\theta$$
  • $$1-\tan\theta+\cot\theta$$
  • $$1+\tan\theta-\cot\theta$$
  • None of these
The given relation $$sin^2Acos^2B+cos^2Asin^2B+cos^2Acos^2B+sin^2Asin^2B=2$$ is 
  • True
  • False
$$\dfrac{\sin 30^{o} \cos 60^{o}}{\sin 45^{o} \cos 45^{o}}=$$
  • $$1$$
  • $$\dfrac{1}{\sqrt{2}}$$
  • $$\dfrac{1}{2}$$
  • $$None\ of\ these$$
If $$x=a\sin{\theta}$$ and $$y=a\cos{\theta}$$ then find the value of $${x}^{2}+{y}^{2}$$
  • $$a^2$$
  • $$4a^2$$
  • $$2a^2$$
  • None of these
What is the value of $$\sin{45^{o}}+\cos{45^{o}}$$
  • $$\sqrt {7}$$
  • $$\sqrt {5}$$
  • $$\sqrt {2}$$
  • $$\sqrt {3}$$
$$sin{ 81 }^{ 0 }+tan{ 81 }^{ 0 }=.......$$
  • $$cos{ 9 }^{ 0 }+cot{ 81 }^{ 0 }$$
  • $$cos{ 9 }^{ 0 }+tan{ 81 }^{ 0 }$$
  • $$cos{ 9 }^{ 0 }+cot{ 9 }^{ 0 }$$
  • $$sin81^{ 0 }+cot{ 81 }^{ 0 }$$
From the given figure, AB =
1183572_a7525172c7f04152b75f8316b3e95a2e.png
  • 16
  • 8
  • 4
  • 12
If $${\rm{sin}}\,{\rm{\theta  + cosec\theta  = 2,}}\,{\rm{then}}\,\,{\rm{si}}{{\rm{n}}^{\rm{2}}}{\rm{\theta  + cose}}{{\rm{c}}^{\rm{2}}}{\rm{\theta }}\,$$ is equal to:
  • $$1$$
  • $$4$$
  • $$2$$
  • None of these
Solve : $$\dfrac { 2tan{ 30 }^{ \circ  } }{ 1+{ tan }^{ 2 }{ 30 }^{ \circ  } } $$
  • sin $${ 60 }^{ \circ }$$
  • cos $${ 60 }^{ \circ }$$
  • tan $${ 60 }^{ \circ }$$
  • cot $${ 60 }^{ \circ }$$
$$\sin x=\dfrac 12\\\tan x=?$$
  • $$\dfrac{1}{\sqrt{3}}$$
  • $$\dfrac{1}{\sqrt{2}}$$
  • $$\dfrac{1}{\sqrt{6}}$$
  • $$\dfrac{1}{\sqrt{5}}$$
sin0$$^0$$ . sin1$$^0$$ ..................... sin90$$^0$$ = 
  • 0
  • tan0$$^0$$
  • csc90$$^0$$
  • cos90$$^0$$
If $$\displaystyle \cot\theta=3x-\frac{1}{12{x}}$$, then $$\csc \theta-\cot \theta$$ is equal to
  • $$6x$$
  • $$-\displaystyle \frac{1}{6x}$$
  • $$\displaystyle \frac{1}{6x}$$  or  $$-6x$$
  • $$6x$$  or  $$-\displaystyle \frac{1}{6x}$$
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