If sin x +sin^2 x=1 then find the value of cos^8 x +2cos^6 x+cos^4 x
(INDEX;^2 : means to the power of)

Question

If sin x +sin^2 x=1 then find the value of cos^8 x +2cos^6 x+cos^4 x (INDEX; ^2 : means to the power of)

Arun · Answer

Sinx +sin²x=1
sinx=1-sin²x
sinx=cos²x
sin²x=cos⁴x
so,
cos^8x+2cos^6x+cos⁴x
=cos⁴x(cos⁴x+2cos²x+1)
=sin²x (sin²x+2sinx+1)
=sin⁴x+2sin³x+sin²x
=sin⁴x+sin³x+sin³x+sin²x
=sin²x(sin²x+sinx)+ sinx(sin²x+sinx)
=sin²x×(1)+ sinx(1)
=sin²x+sinx
= 1

Thank you for registering.

Register Now and Win Upto 25% Scholorship for a Full Academic Year !

Enter Your Details

Registration done!

If sin x +sin^2 x=1 then find the value of cos^8 x +2cos^6 x+cos^4 x (INDEX; ^2 : means to the power of)

If sin x +sin^2 x=1 then find the value of cos^8 x +2cos^6 x+cos^4 x
(INDEX;^2 : means to the power of)

1 Answers

Think You Can Provide A Better Answer ?

Provide a better Answer & Earn Cool Goodies See our forum point policy

Other Related Questions on 10 grade maths

ASK QUESTION

Answer and earn gift vouchers

View courses by askIITians

Design classes One-on-One in your own way with Top IITians/Medical Professionals

Complete Self Study Package designed by Industry Leading Experts

Live 1-1 coding classes to unleash the Creator in your Child

a Complete All-in-One Study package Fully Loaded inside a Tablet!

Register Now & Win Upto 25% Scholorship

Thank you for registering.

Register Now and Win Upto 25% Scholorship for a Full Academic Year !

Enter Your Details

Registration done!

If sin x +sin^2 x=1 then find the value of cos^8 x +2cos^6 x+cos^4 x (INDEX; ^2 : means to the power of)

If sin x +sin^2 x=1 then find the value of cos^8 x +2cos^6 x+cos^4 x(INDEX;^2 : means to the power of)

1 Answers

Think You Can Provide A Better Answer ?

Provide a better Answer & Earn Cool Goodies See our forum point policy

Other Related Questions on 10 grade maths

ASK QUESTION

Answer and earn gift vouchers

View courses by askIITians

Design classes One-on-One in your own way with Top IITians/Medical Professionals

Complete Self Study Package designed by Industry Leading Experts

Live 1-1 coding classes to unleash the Creator in your Child

a Complete All-in-One Study package Fully Loaded inside a Tablet!

Register Now & Win Upto 25% Scholorship

If sin x +sin^2 x=1 then find the value of cos^8 x +2cos^6 x+cos^4 x
(INDEX;^2 : means to the power of)