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# Introduction To Trigonometry

10th Class - CBSE - Mathematics - 4662 Questions - 0 Concepts

#### Important Questions

Q1 Single Correct Hard
If $ABCD$ is a cyclic quadrilateral such that $12$ $\tan A-5=0$ and 5 $\cos B+3=0$, then $\cos C\tan D=$
• A. $^{\displaystyle \frac{16}{13}}$
• B. $\displaystyle \frac{-13}{16}$
• C. $\displaystyle \frac{23}{16}$
• D. $\displaystyle \frac{-16}{13}$

Asked in: Mathematics - Introduction To Trigonometry

1 Verified Answer | Published on 07th 09, 2020

Q2 Single Correct Hard
If $sec \Theta =\dfrac{m+n}{2\sqrt{mn}}$ then $sin \Theta$ =
• A. $\dfrac{m-n}{2\sqrt{mn}}$
• B. $\dfrac{m^{2}-n^{2}}{m+n}$
• C. $\dfrac{\sqrt{mn}}{m+n}$
• D. $\dfrac{m-n}{m+n}$

Asked in: Mathematics - Introduction To Trigonometry

1 Verified Answer | Published on 07th 09, 2020

Q3 Single Correct Medium
In a triangle $ABC, \angle C=90^0. a,b$ are the sides and $c$ is the hypotenuse of a right angled triangle, then the equation whose roots are $\tan A$ and $\tan B$ is
• A. $ab x^{2}+c^{2}x+ ab =0$
• B. $ab x^{2}+c^{2}x- ab =0$
• C. $ab x^{2}-c^{2}x- ab =0$
• D. $ab x^{2}-c^{2}x+ ab = 0$

Asked in: Mathematics - Introduction To Trigonometry

1 Verified Answer | Published on 07th 09, 2020

Q4 Subjective Hard
If $A+B=45^\circ$, prove that $(1+ \tan A)(1+ \tan B)=2$ and hence deduce that $\tan 22\dfrac{1}{2}^\circ=\sqrt{2}-1$

Asked in: Mathematics - Introduction To Trigonometry

1 Verified Answer | Published on 07th 09, 2020

Q5 Subjective Hard
In $\Delta ABC,$ AB = 8 cm, AC = 5 cm and $m \angle A = 50^o$. Then
(a) What is the length of the perpendicular from C to AB?
(b) Find the length of BC.
$[sin 50^o = 0.7660, cos 50^o = 0.6428, tan 50^o = 1.1918]$

Asked in: Mathematics - Introduction To Trigonometry

1 Verified Answer | Published on 07th 09, 2020

Q6 Passage Hard
In $\triangle ABC$, the incircle touches the sides $BC, CA$ and $AB$ at $D, E, F$ respectively. $BD, CE$ and $AF$ are consecutive natural numbers. $I$ is the incentre of the triangles. The radius of the incircle is $4$ units.

Asked in: Mathematics - Introduction To Trigonometry

1 Verified Answer | Published on 07th 09, 2020

Q7 Subjective Hard
Find the value of '$x$'

Asked in: Mathematics - Introduction To Trigonometry

1 Verified Answer | Published on 07th 09, 2020

Q8 Subjective Hard
Find the value of '$x$'

Asked in: Mathematics - Introduction To Trigonometry

1 Verified Answer | Published on 07th 09, 2020

Q9 Single Correct Hard
If $a sec \theta + b tan \theta = 1$ and $a^2 sec^2 \theta - b^2 tan^2 \theta = 5$, find $a^2b^2 + 4a^2$.
• A. $\displaystyle \frac{9}{a^2}$
• B. $\displaystyle \frac{-2}{b}$
• C. 9
• D. $9b^2$

Asked in: Mathematics - Introduction To Trigonometry

1 Verified Answer | Published on 07th 09, 2020

Q10 Single Correct Hard
In $\triangle ABC$, the measure of $\angle B$ is $90^{\circ}, BC = 16$, and $AC = 20$. $\triangle DEF$ is similar to $\triangle ABC$, where vertices $D, E,$ and $F$ correspond to vertices. $A, B$, and $C$, respectively, and each side of $\triangle DEF$ is $\dfrac {1}{3}$ the length of the corresponding side of $\triangle ABC$. What is the value of $\sin F$?
• A. $\dfrac 53$
• B. $-\dfrac 35$
• C. $-\dfrac 53$
• D. $\dfrac 35$

Asked in: Mathematics - Introduction To Trigonometry

1 Verified Answer | Published on 07th 09, 2020

Questions 122475
Subjects 10
Chapters 93
Enrolled Students 65