sin square theta + 1
Answers
Step-by-step explanation:
Step I: Draw a line PQ and take a point R on it.
Step II: With R as centre and a convenient radius construct an arc touching the line PQ at two points A and B.
Step III: With A and B as centres and a radius greater than RA construct two arcs cutting each other at S.
Step IV: Join RS and extend it in both directions to get a line perpendicular to PQ.
Thus, XY is the line required which is perpendicular to PQ and passes through R as shown in the above image.
please follow
Answer:
Products as sums
Sums as products
AN IDENTITY IS AN EQUALITY that is true for any value of the variable. (An equation is an equality that is true only for certain values of the variable.)
In algebra, for example, we have this identity:
(x + 5)(x − 5) = x2 − 25.
The significance of an identity is that, in calculation, we may replace either member with the other. We use an identity to give an expression a more convenient form. In calculus and all its applications, the trigonometric identities are of central importance.
On this page we will present the main identities. The student will have no better way of practicing algebra than by proving them. Links to the proofs are below.
Reciprocal identities
sin θ = 1
csc θ csc θ = 1
sin θ
cos θ = 1
sec θ sec θ = 1
cos θ
tan θ = 1
cot θ cot θ = 1
tan θ
Proof
Again, in calculation we may replace either member of the identity with the other. And so if we see "sin θ", then we may, if we wish, replace
it with " 1
csc θ "; and, symmetrically, if we see " 1
csc θ ",
then we may replace it with "sin θ"