Order Now Order Now
Login / SignUp
Order Now

Home Free Essays

>>

All Subjects

>>

Maths

>>

Math

Math

Download

[Name of the Writer]

[Name of Instructor]

[Subject]

[Date]

Math14-TanB= 34 and 0<B<90Sin12B=±1-cosB2=?We don't have value of cosB so first we have to find cosBAs we know TanB= PerpendicularBase=34, and CosB=BaseHypotenuse So we have to find out Hypotenuse to find value of CosBHypotenuse=Perpendicular2+base2=32+42=9+16= 25=5CosB=45We know that tangent is positive in first quadrant so we will use Sin12B=1-cosB2So Sin12B=1-452=5-452=15×2=110A

15-As we know sin60°=32 , And sinθ is positive because it lies in the first quadrant

So sin12120=1-cos1202=1-(-12)2=2+122=32×2=34=32

16-As we know cos225°=-22 , And cosθ is negative because it lies in the third quadrant

So cos12450=-1+cos4502=-1-02=-12=-22

17-As we know tan135°=-1 , And tanθ is negative because it lies in the second quadrant

So tan12270=-1-cos2701+cos270=-1-01+0=-11=-1

18-As we know cosA=725 , And 0 < A < 90 so cosA will be positive

sin12A=1-cosA2=1-7252=25-7252 =182 ×25=1850=3252 = 35

cos12A=1+cosA2=1+7252 =25+7252=322 ×25=3250=4252 = 45

tan12A=1-cosA1+cosA=1-7251+725=25-72525+725=1832=3242=34

19-As we know cosB=59 , And 0 < B < 90 so cosB will be positive

sin12B=1-cosB2=1-592=9-592 =42 ×9=232

cos12B=1+cosB2=1+592=9+592 =142 ×9=1432

tan12B=1-cosB1+cosB=1-591+59=9-599+59=414=214

20-As we know cosθ=78 , And 0 < θ < 90 so cosθ will be positive

sinθ2=1-cosθ2=1-782=8-782 =12 ×8=123

cosθ2=1+cosθ2=1+782=8+782 =152 ×8=1523

tanθ2=1-cosθ1+cosθ=1-781+78=8-788+78=115=115

21-As we know sinA=0.6=610, And 0 < A < 90 so sinθ will be positive

However first we have to find out cosA to find the half angle identities

sinA = PerpendicularHypotenuse=610, we have to find the Base using the formula H2 = P2 + B2

Base = B = H2-P2=102-62=100-36=64=8

cosA = BaseHypotenuse=810

sin12A=1-cosA2=1-8102=10-8102 =22 ×10 = 225

cos12A=1+cosA2=1+8102 =10+8102=182 ×10 = 3225

tan12A=1-cosA1+cosA=1-8101+810=10-81010+810=218=232=13

22- (4) sin12x= 12sinx is not an identity

23-2 sin40°

24-4 tan250°

25- (1) 1-cosθ

26- (3) -79

27- (2) 2-√3

More Subjects

Education

(5614)

English

(2294)

Business And Management

(1760)

Healthcare And Nursing

(1684)

Psychology

(929)

History And Anthropology

(743)

Sociology

(572)

IT

(446)

Education

(429)

Finance, Accounting And Banking

(419)

Philosophy

(347)

Political Science

(310)

Law And International Law

(308)

HRM

(300)

Economics

(288)

Biology And Life Sciences

(267)

Literature

(249)

Marketing And PR

(238)

Culture

(140)

Environmental Science

(109)

Geography

(92)

Statistics

(64)

Maths

(53)

International Relations

(44)

Physics

(30)

Chemistry

(25)

Capstone

(8)

Project Management

(8)

Reflective Thinking

(7)

Critical Review

(3)

Linguistics

(3)

Critical Appraisal

(2)

BUS 2090

(2)

English 12 Drama

(1)

Business Information Technology

(1)

Operational Plan

(1)

Corporate Finance

(1)

L2 Photography And Design

(1)

Food Nutrition

(1)

Leadership

(1)

Nursing

(1)

MBA

(1)

Social Enterprise Project

(1)

Government

(1)

Our tools

Essay typer Grammar Checker Plagiarism Checker Citation Generator

Useful Links

Free Essays About Blog

Contact me

info@freeessaywriter.net

If you have any queries please write to us

Join our mailing list

Invalid Email Address!
Thank you for joining our mailing list

Please note that some of the content on our website is generated using AI and it is thoroughly reviewed and verified by our team of experienced editors. The essays and papers we provide are intended for learning purposes only and should not be submitted as original work.

@ All Rights Reserved 2023 info@freeessaywriter.net

Privacy Policy Terms of Service Use Contact
Back to top