haamcsaai
haamcsaai haamcsaai
  • 04-04-2019
  • Mathematics
contestada

Prove this identity using the product-to-sum identity for sine:
[tex]sin^2x=\frac{1-cos(2x)}{2}[/tex]
umm pls

Respuesta :

LammettHash
LammettHash LammettHash
  • 04-04-2019

It follows from

[tex]\cos2x=\cos(x+x)=\cos x\cos x-\sin x\sin x=\cos^2x-\sin^2x=1-2\sin^2x[/tex]

[tex]\implies\cos 2x-1=-2\sin^2x[/tex]

[tex]\implies\sin^2x=\dfrac{1-\cos2x}2[/tex]

Answer Link

Otras preguntas

Hello can you help me out with this? Asap? Here's the question: Making Inferences: What factors would cause the rate of mechanical weathering to differ for diff
Jack, Jo and Jim were ship wrecked on an island with monkeys and a crate of 185 bananas jack ate 5 more then Jim jo ate 3 more bananas and the monkey ate 6 bana
What is the rhyme scheme of a Shakespearean sonnet? A. abab cdcd efef gg B. abab bcbc cdcd ee C. abba abba cdc cdc D. abba bcdc ded ded
Which gland helps the body prepare for and handle stress? A. pituitary gland b. thyroid gland C. adrenal gland d. pancreas
How do the meanings of the words exercise and fitness differ?
write a decimal equation that is a product of 3.15
The __________ combined score moved the competitor to the top of the scoreboard.
How long will it take to earn $568.75 in interest if $2500 is invested at a 6.5% annual interest rate?
A piano emits frequencies the range from a low of about 28 Hz to a high of about 4200 Hz. Find the range of wavelengths in air attained by this instrument when
You answer 12 out of 20 problems correct on your homework. What percent did you answer correct? What percent did you answer incorrect?