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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

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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

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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

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

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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

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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


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

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

Asked in: Mathematics - Introduction To Trigonometry


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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

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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

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Questions 122475
Subjects 10
Chapters 93
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