fishinggirl22 fishinggirl22

13-05-2022
Mathematics

contestada

Simplify (sinx + cosx) ^2/ sin2x

Respuesta :

Hrishii Hrishii

13-05-2022

[tex]\csc 2x+1[/tex]

Step-by-step explanation:

[tex]\frac{(\sin x+\cos x)^2}{\sin2x}[/tex]

We expand [tex](\sin x+\cos x)^2[/tex] using algebraic identity [tex](a+b)^2=a^2+b^2+2ab[/tex]

[tex]=\frac{\sin^2x+\cos^2x+2\sin x.\cos x}{\sin2x}[/tex]

[tex]= \frac{1+\sin2x}{\sin2x}[/tex]

[tex]=\frac{1}{\sin2x}+\frac{\sin2x}{\sin2x}[/tex]

[tex]=\csc 2x+1[/tex]

Answer Link

Otras preguntas

Which of these is a shared Sunni–Shia belief? A) Belief in reincarnation as the afterlife. B) Imams are holy men who hold the final say in Islamic law. C) Add

99 POINTS!!! In two or three sentences, compare the two Harriets. Identify one way they were similar and one way they were different.

P and q are different two-digit prime numbers with the same digits, but in reversed order. what is the value of the larger of p and q?

Study the group of signal words; then select the name of the pattern in which these signal words would probably be used. additionally, also cause-effect compar

Which of the following is Not a factor of poduction Land Capital Labor Income

what is 25/125 in decimal form from percent

4×-6+x+3 what is the value of this expression when x =8

Suppose the fed sets the required reserve ratio at 20%. if a bank has $200,000 in checkable deposits and $80,000 in reserves, then the maximal checkable deposit

While they are cooking, why do Beezus and Ramona keep reassuring their parents? A. They want the meal to be a complete surprise. B. They want their parents

"culture is what presents us with the kinds of valuable things that can fill a life. and insofar as we can recognize the value in those things and make them par