Answer:
Step-by-step explanation:
sin²β + sin²β×tan²β = tan²β
sin²β( 1 + tan²β ) = tan²β
~~~~~~~~~~~~~~~~
<u><em>sin²β + cos²β = 1 </em></u>
<u><em /></u>
+
=
⇒ tan²β + 1 = sec²β ⇔ 1 + tan²β = sec²β
~~~~~~~~~~~~~~
1 + tan²β =
L.H. = sin²β (
) = tan²β
R.H. = tan²β
Answer:
Step-by-step explanation:
- The speed of the boat in the lake = x
- The speed of the current = 3 km/h
<u>Required equation:</u>
- 54 / (x + 3) + 42 / (x - 3) = 96/x
- 9x(x - 3) + 7x(x + 3) = 16(x + 3)(x - 3)
- 9x² - 27x + 7x² + 21x = 16x² - 144
- 6x = 144
- x = 144/6
- x = 24 km/h
1and2 are supplementary angles is conjecture is false
Answer:
The answer is,

Step-by-step explanation:
The given product is,

= 
---------------------(1)
Now, the first product to compare is,

= - 0.25 ----------------------------(2)
The second product to compare is,

= 0.5 ------------------------(3)
The 3rd product to compare is,

= 3 ----------------------------(4)
The 4th product to compare is,

= 
= 0.05625 -----------------(5)
Comparing all the values , we get (3) is closest to (1).
Hence, we get, the answer is,
