Question
Let f:R→R be defined as f(x) = cosx + sinx. Then the
range of f(x) is:Solution
We are given the function f(x) = cosx + sinx , and asked to find its range . To determine the range, observe that this is a standard form of a trigonometric identity. We can write: f(x) = cosx + sinx = √2{(cosx / √2) + (sinx/√2)} = √2 sin(x+π/4)
This uses the identity: 
Where tan ϕ = b/a. In our case, a = 1, b = 1, so: f(x) = √2 sin(x+π/4)
Since sin(θ) always lies in [−1,1], it follows that: f(x) = √2 sin(x+π/4) ∈ [−2,2].
The yellowing of green tissues or structures (especially leaves) due to either non-formation or destruction of chlorophyll.
How many Ramsar sites does India have after the addition of the three new sites?
What is percent canopy density for open forest ?
“Economics is a science” the basis of this statement is
I. Relation between cause and effect
II. Deductive and inductive method for...
What type of radiation is trapped on earth’s surface as a result of greenhouse effect
Who is father of extension in India?
Modified stem of Banana is
Yellow vein mosaic of bhindi is caused by a
Opportunity cost is-
Which of the following states was the largest producer of cotton in 2023-24?
Relevant for Exams:
