English, asked by sd70025, 3 months ago

If cosA + cos²A=1, then find the value of sin²A + sin⁴A
Subject is Mathematics

Answers

Answered by khushived

1

Answer:

CosA + cos^2A=1

CosA=1- cos^2A

cosA=sin^2A [cos^2A+sin^2A=1]

therefore

sin^2A+sin^4A

=sin^2A+(sin^2A)^2

=cosA+cos^2A. [sin^2A=cosA proven above]

=1

sin^2A+sin^4A=1

Hope it helps

Previous Question

Next Question

Similar questions

Math, 1 month ago

A number written as K × 10n is said to be in standard form if K is a decimal number and n is any integer where...

Math, 1 month ago

whats is the dimeter radius of 10cm...

Chemistry, 1 month ago

what will happen if carbondioxide gas is passed through lime water?

Math, 3 months ago

12) The inner diameter of a wooden cylindrical pipe is 24cm and its outer diameter is 28cm. The length of pipe is 35cm. Find the mass of the pipe, if 1 cm^3 of wood weighs 3g.

Social Sciences, 3 months ago

2) Why was the capital shifted from Anhilwad Patan to Ahmedabad?

Math, 9 months ago

find simple interest and amount of 500 are period of 4 years at the rate of 8%p.a.

Chemistry, 9 months ago

explain why we can easily move our hands in air but to do the same through a a a plank of wood...

English, 9 months ago

is.JEKE IL OL SIL BIL Z IS MULTITU IL I Shall try to be brief - Who is the speaker? Is the speak in his her purpose. Bring out the irony situation. After Bleaniem 4. "And out of its reprous hide" What does "hide" refer to? Why is it called Ieprows"? How is the tree finally killed? 5. "But her next question removed my doubt who does her refer to? What doubts did the narrator have? How did the...