




Consider a
ABC right angled at C and
Then,
‣ Base [B] = BC
‣ Perpendicular [P] = AC
‣ Hypotenuse [H] = AB

Let,
Base = 7k and Perpendicular = 8k, where k is any positive integer
In
ABC, H² = B² + P² by Pythagoras theorem






Calculating Sin




Calculating Cos




<u>Solving the given expression</u><u> </u><u>:</u><u>-</u><u> </u>

Putting,
• Sin
= 
• Cos
= 

<u>Using</u><u> </u><u>(</u><u>a</u><u> </u><u>+</u><u> </u><u>b</u><u> </u><u>)</u><u> </u><u>(</u><u>a</u><u> </u><u>-</u><u> </u><u>b</u><u> </u><u>)</u><u> </u><u>=</u><u> </u><u>a²</u><u> </u><u>-</u><u> </u><u>b²</u>










✧ Basic Formulas of Trigonometry is given by :-


✧ Figure in attachment

The quotient rule is
d(u/v) = (u dv - v du) / u2
d(u/v) can written as
d( u (1/v) )
Using the product rule and chain rule
d( u (1/v)) = u d(1/v) + (1/v) du
= u (-1/v2) dv + (!/v) du
= (u dv - v du) / u2
Answer:
To find the value of missing exponent, we have to split the number which is in other side of equal sign (which is not having power) as the multiple of base of the missing exponent.
On both sides, powers have the same base, so their exponents must be equal.
Step-by-step explanation:
<h3>Problem 1:</h3>
Write the missing exponent:
25=5^x
Let x be the missing exponent.
To find the value missing exponent, we have to split the number which is in the left side as the multiple of the base of the missing exponent.
That is,
25=5*5 or 5^2
Now,
5^2=5^x
Powers have the same base so their exponent must be equal.
Hence the missing exponent is 2