Question
Prove the following identities:
$\frac{\tan^2\theta}{\big(1+\tan^2\theta\big)}+\frac{\cot^2\theta}{\big(1+\cot^2\theta\big)}=1$
$\frac{\tan^2\theta}{\big(1+\tan^2\theta\big)}+\frac{\cot^2\theta}{\big(1+\cot^2\theta\big)}=1$
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Form the pair of linear equations in the problem, and find its solution graphically:
5 pencils and 7 pens together cost ₹ 50 whereas 7 pencils and 5 pens together cost ₹ 46. Find the cost of one pencil and that of one pen.
|
Class
|
0-20
|
20-40
|
40-60
|
60-80
|
80-100
|
100-120
|
|
Frequency
|
7
|
$f_1$
|
12
|
$f_2$
|
8
|
5
|