Get 2 FREE Instant-Explanations on Filo with code FILOAPP

Home

From the figure (2) given below, find the values of (i) sin x

Question

From the figure (2) given below, find the values of
(i) sin x
(ii) cot x
(iii) $co t^{2} x - cose c^{2} x$

Views: 2,049 students

Found 6 tutors discussing this question

Alexander Discussed

From the figure (2) given below, find the values of
(i) sin x
(ii) cot x
(iii)

co t^{2} x - cose c^{2} x

11 mins ago

Discuss this question LIVE

11 mins ago

Text solutionVerified

let given

Δ A BC

BD = 3, AC = 12, AD = 4
In right angled

Δ A B D

By Pythagoras theorem

A B^{2} = A D^{2} + B D^{2}

A B^{2} = (4)^{2} + (3)^{2}

A B^{2} = 16 + 9

A B^{2} = 25

A B^{2} = (5)^{2}

AB = 5
In right angled triangle ACD
By Pythagoras theorem,

A C^{2} = A D^{2} + C D^{2}

C D^{2} = A C^{2} - A D^{2}

C D^{2} = (12)^{2} - (4)^{2}

C D^{2} = 144 - 16

C D^{2} = 128

C D = \sqrt 128

C D = \sqrt 64 \times 2 C D

= 8\sqrt 2

(i) sin x = perpendicular/Hypotenuse
= AD/AB
= 4/5
(ii) cot x = Base/Perpendicular
= BD/AD
=3/4
(iii) cot x = Base/ Perpendicular
BD/AD
= 3/4
cosec x = Hypotenuse / Perpendicular
AB/BD
= 5/4

cot^{2} x - cose c^{2} x

= (3/4)^{2} - (5/4)^{2}

= 9/16 – 25/16
(9 -25)/16
= -16/16
= -1

Was this solution helpful?

153

Report

One destination for complete JEE/NEET preparation

One destination to cover all your homework and assignment needs

Learn Practice Revision Succeed

Instant 1:1 help, 24x7

60, 000+ Expert tutors

Textbook solutions

Big idea maths, McGraw-Hill Education etc

Essay review

Get expert feedback on your essay

Schedule classes

High dosage tutoring from Dedicated 3 experts

Trusted by 4 million+ students

Stuck on the question or explanation?

Connect with our math tutors online and get step by step solution of this question.

231 students are taking LIVE classes

Question Text	From the figure (2) given below, find the values of (i) sin x (ii) cot x (iii) $co t^{2} x - cose c^{2} x$
Answer Type	Text solution:1
Upvotes	153

From the figure (2) given below, find the values of(i) sin x(ii) cot x(iii) cot2x−cosec2x

Text solutionVerified

Practice questions from similar books

From the figure (2) given below, find the values of
(i) sin x
(ii) cot x
(iii) $co t^{2} x - cose c^{2} x$