We start with the more complicated side which is the left side, and show that, on using some trigonometric identities, we will get the term on the right side .
Using Quotient identity for tangent function, we will get
Taking out sine function from the numerator
Cancelling the common term of numerator and denominator
Answer:
80 cubes
Step-by-step explanation:
volume of one small cube = 1 /2 × 1 / 2 × 1 / 2
= 1 / 8cm^3
let x be the number of cubes needed
1 / 8 × x = 10
x = 10 × 8
x = 80 cubes
Answer:
Step-by-step explanation:
It asks for the common set of A and B.
<u>There only one element common to both the given sets:</u>
- A={2,3,5,7} and B={2,4,6,8} ⇒ A∩B = {2}
Answer:
1, 2, 8, 128, 32768
Step-by-step explanation:
Thus the first five terms are: 1, 2, 8, 128, 32768.
Answer:
Option (d) is correct.
Step-by-step explanation:
Given : Expression 
We have to write a simplified form of the given expression
Consider the given expression
![\mathrm{Apply\:radical\:rule\:}\sqrt[n]{ab}=\sqrt[n]{a}\sqrt[n]{b},\:\quad \mathrm{\:assuming\:}a\ge 0,\:b\ge 0](https://tex.z-dn.net/?f=%5Cmathrm%7BApply%5C%3Aradical%5C%3Arule%5C%3A%7D%5Csqrt%5Bn%5D%7Bab%7D%3D%5Csqrt%5Bn%5D%7Ba%7D%5Csqrt%5Bn%5D%7Bb%7D%2C%5C%3A%5Cquad%20%5Cmathrm%7B%5C%3Aassuming%5C%3A%7Da%5Cge%200%2C%5C%3Ab%5Cge%200)
Factor 10000 as 
![\mathrm{Apply\:radical\:rule}:\quad \sqrt[n]{a^n}=a](https://tex.z-dn.net/?f=%5Cmathrm%7BApply%5C%3Aradical%5C%3Arule%7D%3A%5Cquad%20%5Csqrt%5Bn%5D%7Ba%5En%7D%3Da)
also, ![\mathrm{Apply\:radical\:rule\:}\sqrt[n]{a^m}=a^{\frac{m}{n}},\:\quad \mathrm{\:assuming\:}a\ge 0](https://tex.z-dn.net/?f=%5Cmathrm%7BApply%5C%3Aradical%5C%3Arule%5C%3A%7D%5Csqrt%5Bn%5D%7Ba%5Em%7D%3Da%5E%7B%5Cfrac%7Bm%7D%7Bn%7D%7D%2C%5C%3A%5Cquad%20%5Cmathrm%7B%5C%3Aassuming%5C%3A%7Da%5Cge%200)
We have,
Thus,
