Answer
Verified
421.5k+ views
Hint: In trigonometry, the angle ${{60}^{\circ }}$ is considered as one of the standard angles for which the value of all the trigonometric functions are known at this angle. For the tan function, the value at the angle ${{60}^{\circ }}$ i.e. tan${{60}^{\circ }}$ = $\sqrt{3}$. Using this, we can solve this question.
Complete step-by-step answer:
Before proceeding with the question, we must know the formula that will be required to solve this question.
In trigonometry, for angle ${{60}^{\circ }}$, the value of all the trigonometric functions is known. For the tan function, the value of $\tan {{60}^{\circ }}=\sqrt{3}$ . . . . . . . . . . . . . . (1)
In this question, we are required to find the value of tan${{60}^{\circ }}$ + 1.
Using equation (1), we have $\tan {{60}^{\circ }}=\sqrt{3}$. Substituting $\tan {{60}^{\circ }}=\sqrt{3}$ in the expression that is given in the question i.e. $\tan {{60}^{\circ }}$ + 1, we get,
$\tan {{60}^{\circ }}$ + 1 = $\sqrt{3}$ + 1
Also, the approximate value of the irrational number $\sqrt{3}$ = 1.73. Substituting $\sqrt{3}$ = 1.73 in the above equation, we get,
$\tan {{60}^{\circ }}$ + 1 = 1.73 + 1
$\Rightarrow $ $\tan {{60}^{\circ }}$ + 1 = 2.73
Hence, the answer is option (a).
Note: There is a possibility that one may commit a mistake while writing the final answer. After generating the value of $\tan {{60}^{\circ }}$, there is a possibility that one may forget to add 1 to this obtained value of $\tan {{60}^{\circ }}$. Since in the question, we are required to find the value of $\tan {{60}^{\circ }}$ + 1, we have to add 1 to $\tan {{60}^{\circ }}$ in order to get the correct answer.
Complete step-by-step answer:
Before proceeding with the question, we must know the formula that will be required to solve this question.
In trigonometry, for angle ${{60}^{\circ }}$, the value of all the trigonometric functions is known. For the tan function, the value of $\tan {{60}^{\circ }}=\sqrt{3}$ . . . . . . . . . . . . . . (1)
In this question, we are required to find the value of tan${{60}^{\circ }}$ + 1.
Using equation (1), we have $\tan {{60}^{\circ }}=\sqrt{3}$. Substituting $\tan {{60}^{\circ }}=\sqrt{3}$ in the expression that is given in the question i.e. $\tan {{60}^{\circ }}$ + 1, we get,
$\tan {{60}^{\circ }}$ + 1 = $\sqrt{3}$ + 1
Also, the approximate value of the irrational number $\sqrt{3}$ = 1.73. Substituting $\sqrt{3}$ = 1.73 in the above equation, we get,
$\tan {{60}^{\circ }}$ + 1 = 1.73 + 1
$\Rightarrow $ $\tan {{60}^{\circ }}$ + 1 = 2.73
Hence, the answer is option (a).
Note: There is a possibility that one may commit a mistake while writing the final answer. After generating the value of $\tan {{60}^{\circ }}$, there is a possibility that one may forget to add 1 to this obtained value of $\tan {{60}^{\circ }}$. Since in the question, we are required to find the value of $\tan {{60}^{\circ }}$ + 1, we have to add 1 to $\tan {{60}^{\circ }}$ in order to get the correct answer.
Recently Updated Pages
Assertion The resistivity of a semiconductor increases class 13 physics CBSE
The Equation xxx + 2 is Satisfied when x is Equal to Class 10 Maths
How do you arrange NH4 + BF3 H2O C2H2 in increasing class 11 chemistry CBSE
Is H mCT and q mCT the same thing If so which is more class 11 chemistry CBSE
What are the possible quantum number for the last outermost class 11 chemistry CBSE
Is C2 paramagnetic or diamagnetic class 11 chemistry CBSE
Trending doubts
State the differences between manure and fertilize class 8 biology CBSE
Why are xylem and phloem called complex tissues aBoth class 11 biology CBSE
Difference between Prokaryotic cell and Eukaryotic class 11 biology CBSE
Difference Between Plant Cell and Animal Cell
What would happen if plasma membrane ruptures or breaks class 11 biology CBSE
Give 10 examples for herbs , shrubs , climbers , creepers
What precautions do you take while observing the nucleus class 11 biology CBSE
What would happen to the life of a cell if there was class 11 biology CBSE
Change the following sentences into negative and interrogative class 10 english CBSE