Need Help !!

Question 1 )

If sin θ – cos θ = 0, find the value of sin4 θ + cos4 θ. (2012, 2017D).

Notes ;

Kindly don't spam.
Need Authentic Answer.
Don't copy from other website , Give answer in ur own logic ....​

[tex] \huge \mathbb{\green{\fbox{\pink{ANSWER}}}} [/tex]

[tex] \\ \: \: \implies \: sin^{4} \: \theta + cos^{4} \: \theta \rightarrow \blue{ \frac{1}{2} } [/tex]

[tex] \\ \\ \: \large \mathfrak \green{Solution} : [/tex]

[tex] \\ \bf \: Given : [/tex]

[tex] \\

\sf \: \: \bf sin \: \theta - cos \: \theta = 0 [/tex]

[tex] \\ \sf \rightarrow \: sin \: \theta = cos \: \theta [/tex]

[tex] \\ \sf \rightarrow \: \frac{sin \: \theta} {cos \: \theta} = 1 [/tex]

[tex] \\ \sf \rightarrow \: tan \: \theta = 1 [/tex]

[tex] \\ \sf \rightarrow \: tan \: \theta = tan \: 45 \degree [/tex]

[tex] \\ \sf \rightarrow \: \theta = 45 \degree [/tex]

[tex] \\ \\ \therefore \: sin^{4} \: \theta + cos^{4} \: \theta [/tex]

[tex] \\ \sf \rightarrow \: sin^{4} \: 45 \degree + cos^{4} \: 45 \degree [/tex]

[tex] \\ \\

\sf \rightarrow \: (\frac{1}{ \sqrt{2} } ) ^{4} +(\frac{1}{ \sqrt{2} } ) ^{4} [/tex]

[tex] \\ \sf \rightarrow \: ( \frac{1}{ \cancel {\sqrt{2} }} )^{ \cancel{2}} ( \frac{1}{ \cancel{ \sqrt{2} }} )^{\cancel{2}} + ( \frac{1}{ \cancel {\sqrt{2} }} )^{ \cancel{2}} ( \frac{1}{ \cancel{ \sqrt{2} }} )^{\cancel{2}} [/tex]

[tex] \\ \\

\sf \rightarrow \: \frac{1}{2} × \frac{1}{2} + \frac{1}{2}× \frac{1}{2} [/tex]

[tex] \\ \\ \sf \rightarrow \: \frac{1}{4} + \frac{1}{4} [/tex]

[tex] \\ \\ \sf \rightarrow \: {\cancel \frac{2} {4}}[/tex]

[tex] \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \sf \implies \fbox{\pink {\frac{1}{2}}} [/tex]

The value of [tex]sin^4\theta+cos^4 \theta[/tex] will be [tex]\frac{2}{(\sqrt{2})^4}[/tex]

Given the expression

sin θ – cos θ = 0

This can be simplified further as:

sin θ = cos θ

sin θ/cosθ = cosθ/cosθ
tanθ = 1

θ = arctan(1)

θ = 45 degrees

To evaluate [tex]sin^4\theta+cos^4 \theta[/tex], substitute the value of theta into the expression to have:

[tex]sin^4\theta+cos^4 \theta\\=sin^445+cos^4 45\\=(\frac{1}{\sqrt{2}} )^4+(\frac{1}{\sqrt{2}} )^4\\=2(\frac{1}{(\sqrt{2})^4} )[/tex]

Hence the value of [tex]sin^4\theta+cos^4 \theta[/tex] will be [tex]\frac{2}{(\sqrt{2})^4}[/tex]

Learn more on trigonometry identity here: https://brainly.com/question/7331447

On a boat tour, there are half as many children as there are adults. How many children are there? There are 30 people on the tour.

the third part lol helppppppppppppppppppppppppppppppppppppppppp

Pls help asap I will give brainliest

HELP ILL MARK BRANLIEST
Rectangle CDEF is rotated 45° in a clockwise direction. To which angle of the image does angle D correspond?
angle C prime
angle D prime
angle C
angle D

I NEED HELP ASAP I NEED THIS IN 3 MINUTES I GIVE BRAINLEST

What is the quotient of 36,772 and 58?

jk, kl, and lj are all tangent to o ja = 10, and ck = 14 find the perimeter of triangle jkl

Given sin 0=7/4and angle 0 is in quadrant 1 what is the exact value of cos 0 in simplest form? Simplify all radics if needed

PLEASE ANSWER WILL GIVE BRAINLIEST IF CORRECT!!!

The figure below is a net for a triangular pyramid. If all the triangles are equilateral, what is the surface area of the pyramid, in square centimeters?

A $3,000 loan is taken out for 12% interest for 6 months. What is the amount of interest charged?
A. $36.00
B. $90.00
C. $180.00
D. $270.00

i need help with this ​

What sentence represents this equation?

413=11−x


11 decreased by 413 is the same as a number.

413 is the same as a number decreased by 11.

413 is the same as 11 decreased by a number.

A number is the same as the difference of 11 and 413.

Eight times the sum of a number and 20 is less than 29

Ashley needed to get her computer fixed. She took it to the repair store. The
technician at the store worked on the computer for 5 hours and charged her
$171 for parts. The total was $796. Write and solve an equation which can be
used to determine x, the cost of the labor per hour.
Equation:
Answer: X =

two numbers are chosen at random from 1, 2 and 3. What is the probability that their sum is an odd number without repitition​

Which set of ordered pairs (x,y) could represent a linear function

[tex] \frac{2}{3} + \frac{1}{6} [/tex]
please can you do it for me ​

5) A farmer raises turkeys and pigs. There are 15 animals all together. The farmer
counts 34 legs on these animals. How many of each type of animal does the farmer
have? (See #7 in Notes)
t-turkey
p-Pigs

what is the answer to 7864 ÷ 51​

find the value of "x" in the following
​

Which inequality correctly represents the expression? The quotient of k and 9 is less than 1. ​

Bob is throwing a party. He had 22 pints of soda. At the end of the party, there are 8 pints of soda. How many cups of soda were drank during the party?

Find the slop of the line in the graph​

I WILL GIVE 20 POINTS TO THOSE WHO ANSWER THIS QUESTION RIGHT NOOO SCAMS PLEASE. Find the area of the figure

_____m squared

I need an explanation on how to work this out

Evaluate the expression rs + 14s when r = 6 and s = 1/4.

(Please Help!) (Giving Good Points!)



Aviva deposited some amount of money at a 4% annual interest rate into her bank account. The money was left in the account for 18 months, and she did not make any more deposits.

If Aviva's money earned $240 interest after 18 months, how much money did she deposit into the account?

please help me with the question​

Convert the following fraction into decimals by changing denominator of 7/5 a multiple of 10

Solution to the inequality 3x<0

Help please thank you.