Test Details

Trigonometry 1

Dec 28, 7:00 PM

150 minutes

Dec 29, 7:00 PM

100.0 marks

MCQ

50 questions

Kanu Da

Abhijit Mondal, BSC In Chemistry Honors From Ramakrishna Mission Residential College, Narendrapur. BE In Mechanical Engineering From Indian Institute Of Engineering Science And Technology, Shibpur. Expert in Mathematics, Mechanical Engineering and SCIENCE

Class Details

MATHEMATICS

Science

Basic Engineering

RRB JE, ALP, Technician

MATHEMATICS

Science

Basic Engineering

Eligible criteria for ALP and Technician - 12th pass with ITI, or Diploma /Btech in Mechanical or in Electrical. For ALP should be physically fit and eye 6/6. RRB JE - Diploma or Btech in Mechanical Engineering.

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Question Text

Question 1 :
(1 + tan θ + sec θ) (1 + cot θ – cosec θ) = ____

Question 5 :
Is this equality correct ?$(cosec A – sin A) (sec A – cos A)= \frac{1}{tan A +cot A}$

Question 6 :
Is $\frac{cos A – sin A + 1}{cos A + sin A - 1}= cosecA + cotA$?

Question 7 :
$\cot A$ is the product of cot and A. True or False?

Question 8 :
$\cos 38^{\circ} \cos 52^{\circ} – \sin 38^{\circ} \sin 52^{\circ} \ne 0$. TRUE or FALSE?

Question 10 :
In $\Delta ACB$, right-angled at C, in which AB = 29 units, BC = 21 units and $\angle ABC = \theta$, find the value of $\cos^2\theta-sin^2\theta$

Question 11 :
In $\Delta ABC$, right-angled at B, AB = 24 cm, BC = 7 cm. Determine $\sin C$ and $cos C$ respectively.

Question 13 :
$\cos A$ is the abbreviation used for the cosecant of angle A. True or False?

Question 14 :
If $\alpha + \beta = 90^\circ$, then find the value of $\sqrt{\cos\alpha\ \operatorname{cosec}\beta-\cos\alpha\ \sin\beta}$.

Question 15 :
Can all the other trigonometric ratios of ∠ A be written in terms of sec A?

Question 16 :
In triangle ABC, right-angled at B, if $\tan A = \frac{1}{\sqrt3}$, then find the value of $\sin A \cos C +\cos A\sin C$

Question 17 :
Is $\frac{cot A - cos A}{cot A + cos A} = \frac{cosec A-1}{cosec A +1}$?

Question 18 :
Given $\tan A=\frac{4}{3}$, then what is the value of $\sin A$?

Question 21 :
In $\Delta ABC$, right-angled at B, AB = 24 cm, BC = 7 cm. Determine $\sin A$ and $cos A$ respectively.

Question 22 :
If $\cot \theta=\frac{7}{8}$, then find the value of $\dfrac{\left( 1+\sin \theta \right) \left( 1-\sin \theta \right) }{\left( 1+\cos \theta \right) \left( 1-\cos \theta \right) }$

Question 24 :
In a right triangle ABC, right-angled at B, if $\tan A = 1$, is $2 sin A cos A \ne 1$ ?

Question 25 :
<img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b19bda273b230584979a2d.PNG' /> In the above figure, find $\tan P – \cot R$

Question 27 :
Given $\tan A=\frac{4}{3}$, then what is the value of $\cos A$?

Question 28 :
Express $\sin 67^{\circ} + \cos 75^{\circ}$ in terms of trigonometric ratios of angles between $0^{\circ}$ and $45^{\circ}$.

Question 31 :
In $\Delta PQR$, right-angled at Q, PQ = 3 cm and PR = 6 cm. Determine $\angle QPR$ and $\angle PRQ$ respectively.

Question 35 :
If A, B and C are interior angles of a triangle ABC, then $\sin\begin{pmatrix}\frac{B+C}{2}\end{pmatrix}\ne\cos\begin{pmatrix}\frac{A}{2}\end{pmatrix}$. TRUE or FALSE ?

Question 37 :
Is $(sin A + cosec A)^2 + (cos A + sec A)^2 = 7 + tan^2 A + cot^2 A$?

Question 38 :
$\sin 2A = 2 \sin A$ is true when A is equal to

Question 40 :
If $\tan 2A = \cot \begin{pmatrix}A – 18^{\circ}\end{pmatrix}$, where 2A is an acute angle, find the value of A.

Question 41 :
The value of $\sin \theta$ increases as $\theta$ increases. True or False?

Question 44 :
Given $\sec \theta = \frac{13}{12}$ calculate $cosec\ \theta$ and $\cot \theta$ respectively.

Question 46 :
In $\Delta ABC$, right-angled at B, AB = 5 cm and $\angle ACB = 30^{\circ}$. Determine the lengths of the sides BC and AC respectively.

Question 47 :
Evaluate : $sin 25° cos 65° + cos 25° sin 65°$

Question 48 :
Can the trigonometric ratios sin A, sec A and tan A be expressed in terms of cot A?

Question 49 :
Is this equality correct ? $\frac{tan A}{1- cotA} + \frac{cotA}{1-tanA}= 1+ secAcosecA$

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