You have the following expression:
To verify the identity, you have that the left side of the equation becomes:
(1 + cosx)(1 - cosx) = (1 - cos^2 x)
because of the product of an expression by its conjugate result in a difference of squares. Or simplfy by expanding the factors and simplying.
Next, you have:
1 - cos^2 x = sin^2 x
because the Pythagorean identity.
Then, the identity is verified.
Answer:
The phenotypic ratio of the offspring will be 100% of purple flowers.
Step-by-step explanation:
Mendel's first law states that if two pure lines are crossed for a given character, the descendants of the first generation will all be equal to each other, phenotypically and genotypically, and phenotypically equal to one of the parents (of dominant genotype).
The Punnett square is a square diagram that is used to predict the genotypes of a particular cross or breeding experiment.
We represent the possibilities of hybridization using a Punnett square in the attached picture.
Uppercase letters represent dominant alleles and lowercase letters represent recessive alleles.
Homozygous individuals have the same pair of alleles. (AA, aa)
We can verify that all offspring have a dominant allele, therefore all offspring will have purple flowers.
The sum of n terms is given from the first term and the common ratio by
For your given values of a1=-11, r=-4, n=8, the sum of 8 terms is