Question
Evaluate the following:
$\text{cosec}^330^\circ\cos60^\circ\tan^345^\circ\sin^290^\circ\sec^245^\circ\cot30^\circ$
$\text{cosec}^330^\circ\cos60^\circ\tan^345^\circ\sin^290^\circ\sec^245^\circ\cot30^\circ$
✓
Answer
$\text{cosec}^330^\circ\cos60^\circ\tan^345^\circ\sin^290^\circ\sec^245^\circ\cot30^\circ$
$=(2)^3\times\frac{1}{2}\times(1)^3\times(1)^2\times(\sqrt{2})^2\times\sqrt{3}$
$=8\times\frac{1}{2}\times1\times1\times2\times\sqrt{3}$
$=8\sqrt{3}$
$=(2)^3\times\frac{1}{2}\times(1)^3\times(1)^2\times(\sqrt{2})^2\times\sqrt{3}$
$=8\times\frac{1}{2}\times1\times1\times2\times\sqrt{3}$
$=8\sqrt{3}$
Need a full question paper?
Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.
Explore more
Similar questions
A square water tank has its side equal to $40 \text {m}$ . There are four semi-circular grassy plots all round it.
Find the cost of turfing the plot at $\text {Rs}.1.25$ per square metre (Take $\pi=3.14$ ).
→Find the cost of turfing the plot at $\text {Rs}.1.25$ per square metre (Take $\pi=3.14$ ).
On certain article if rate of CGST is 9% then what is the rate of SGST? and what is the rate of GST?
The graph of the polynomial $f(x) = ax^2 + bx + c$ is as shown in Fig. Write the value of $b^2 - 4ac$ and the number of real zeros of $f(x). $
→Find the nature of the roots of the following quadratic equations:$\text{3x}^2-2\sqrt6\text{x}+2=0$
→In the figure given below, a line segment is drawn parallel to one side of the triangle and the lengths of certain line-segment are marked. Find the value of x in the following:
One card is drawn at random from a well shuffled deck of 52 cards. What is the probability of getting an ace?
In the given figure, a circle with centre O, is inscribed in a quadrilateral ABCD such that it touches the side BC, AB, AD and CD at points P, Q, R and S respectively. If AB = 29cm, AD = 23cm, $\angle\text{B} = 90^\circ$and DS = 5cm then find the radius of the circle.
→Explain why 7 × 11 × 13 + 13 and 7 × 6 × 5 × 4 × 3 × 2 × 1 + 5 are composite numbers.
The following table shows the income of farmers in a grape season. Find the mean of their income.
| Income (Thousand Rupees) | 20-30 | 30-40 | 40-50 | 50-60 | 60-70 | 70-80 |
| Farmers | 10 | 11 | 15 | 16 | 18 | 14 |
If two coins are tossed, find the probability of the following events.
Getting at least one head.
Getting at least one head.