Step-by-step explanation:
tan2x = sin2x/cos2x
we know that ,
- sin2x = 2sinxcosx
- sin2x = 2sinxcosx cos2x = cos²x - sin²x
Since, tan2x = 2sinx*cosx/cos²x- sin²x
Dividing by cos²x in numerator and denominator.
We get ,
- tan2x = 2sinx/cosx / 1- sin²x/cos²x
- Since, we get tan2x= 2tanx/1-tan²x
- Option (c) is correct option.
Answer:
y = 0.2(0.5)^x
Step-by-step explanation:
Exponential function are of the form
y = ab^x
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To find "a" plug in x = 0 y = 0.2
0.2 = a(0.2)^0
0.2 = a
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To find "b" plug in another point and a = 0.2
using x = 2, b = 0.05
0.05 = 0.2b^2
Divide both sides by 0.20
.25 = b^2
Take the square root of both sides
0.5 = b
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With a = 0.2 and b = 0.5 the equation becomes
y = 0.2(0.5)^x
Answer:
The third choice is the correct one
Explanation:
Square root means that what is under the root has power of 1/2
8 = 4 * 2
Therefore:
√8 = √4 * √2 = 2√2
The given expression:
(8 * x^7 * y*8)^1/2 = (8)^1/2 * (x^7)^1/2 * (y^8)^1/2
= 2√2 * x^7/2 * y^4
= 2√2 * x^3 * y^4 * √x
= 2* x^3 * y^4 √2x
Hope this helps :)
Answer:
the answer is 3
Step-by-step explanation:
