Answer

Verified

306.3k+ views

**Hint:**For solving this question you should know about finding the values of trigonometric functions. In this problem we will find the trigonometric values of the given functions. But if it is given to find the value of a trigonometric function, then we find the trigonometric value of that function and then we add them according to the given sequence.

**Complete step by step answer:**

According to our question it is asked of us to find the correct value of the function. As we know that if any question is asking for the values of trigonometric functions, then we directly put the value of that function there and get our required answer for that. But if it is given to find the angles of them, then we find the original function (trigonometric function) for that value and then we get the angle of that by comparing it with each other. And if it is asked directly without any angle, then we always use the general formulas of trigonometry for solving this. And we will solve that according to the given sequence of calculations. So, let us take our question,

$\dfrac{\tan {{45}^{\circ }}}{\operatorname{cosec}{{30}^{\circ }}}+\dfrac{\sec {{60}^{\circ }}}{\cot {{45}^{\circ }}}-\dfrac{5\sin {{90}^{\circ }}}{2\cos {{0}^{\circ }}}$

We know that,

$\begin{align}

& \operatorname{cosec}\theta =\dfrac{1}{\sin \theta },\cot \theta =\dfrac{1}{\tan \theta },\cos \theta =\dfrac{1}{\sec \theta } \\

& \therefore \tan {{45}^{\circ }}\sin {{30}^{\circ }}+\sec {{60}^{\circ }}\tan {{45}^{\circ }}-\dfrac{5\sin {{90}^{\circ }}\sec {{0}^{\circ }}}{2} \\

& =1\left( \dfrac{1}{2} \right)+\left( 2 \right)1-\dfrac{5}{2} \\

& =\dfrac{1}{2}+2-\dfrac{5}{2} \\

& =\dfrac{1-5}{2}+2 \\

& =-\dfrac{4}{2}+2 \\

& =-2+2 \\

& =0 \\

\end{align}$

So, the value of the given function is zero.

**Note:**While solving these type problems you have to always keep in mind that if the value of inverse trigonometric function is asked, then find that and if it is asked for the angle, then find it by comparing, if that is asking for the trigonometric function value to solve any problem, then give that, but if no angles are given, then always use the general trigonometric formulas.

Recently Updated Pages

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

What happens when entropy reaches maximum class 11 chemistry JEE_Main

Trending doubts

How do you solve x2 11x + 28 0 using the quadratic class 10 maths CBSE

Distinguish between the reserved forests and protected class 10 biology CBSE

Fill the blanks with the suitable prepositions 1 The class 9 english CBSE

Give simple chemical tests to distinguish between the class 12 chemistry CBSE

Difference Between Plant Cell and Animal Cell

Which of the following books is not written by Harshavardhana class 6 social science CBSE

Difference between Prokaryotic cell and Eukaryotic class 11 biology CBSE

In which states of India are mango showers common What class 9 social science CBSE

What Made Mr Keesing Allow Anne to Talk in Class class 10 english CBSE