State True or False for the following statement: The equality + 2… - Vidyadip

Question

State True or False for the following statement:
The equality $\sin\text{A}+\sin2\text{A}+\sin3\text{A}=3$ holds for some real value of A.

✓

Answer

False.
Solution:
Given that, $\sin\text{A}+\sin2\text{A}+\sin3\text{A}=3$
since the maximum value of $\sin\text{A}$ is 1 but for $\sin2\text{A}$ and $\sin3\text{A}$ it is not equal to 1. so it is not possible.
Hence, the given statement is 'False'.

Need a full question paper?

Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.

Start Generating Free

Explore more

More "True False[1 Marks ]" from Trigonometric Functions→Trigonometric Functions — all question types→Maths STD 11 Science question papers→CBSE Board STD 11 Science question papers→CBSE Board question paper generator→

Similar questions

State whether the statements are True or False.
The probability of an occurrence of event A is 0.7 and that of the occurrence of event B is .3 and the probability of occurrence of both is 0.4

Equation of line perpendicular to line $a x+b y+c=0$ is given by $b x+a y+\lambda=0$, where $\lambda$ is a constant.

Determine whether the following compound statements are true or false:
Delhi is in England and 2 + 2 =5.

Mean deviation can be determined from any measure of central tendency.

Two sequences cannot be in both $A.P.$ and $G.P.$ together.

If the line $lx + my = 1$ is a tangent to the circle $x^2 + y^2 = a^2$, then the point $\text{(l, m)}$ lies on a circle.
$[$Hint: Use that distance from the centre of the circle to the given line is equal to radius of the circle$]$

Let $\text{A}=\{\phi,\{\phi\},1\{1,\phi\},2\}.$ Then the statement is true?
$\{2,\{1\}\not\subset\text{A}.$

The following stetements are true? Given reason to support your answer.
Every set has a proper subset.

If some or all of $n$ objects are taken at a time$,$ the number of combinations is $2^{n–1}.$

State which of the statement in True or False.
The number of terms in the expansion of $[(2x + y^3 )^4]^7$ is $8.$