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Simora [160]
3 years ago
11

Verify sin2θ/1+cos2θ =tanθ

Mathematics
1 answer:
Andrej [43]3 years ago
4 0

Answer:

LHS.= Sin 2x /( 1 + cos2x )

We have , sin 2x = 2 sinx•cosx

And. cos2x = 2cos^2 x - 1

i.e . 1+ cosx 2x = 2cos^2x

Putting the above results in the LHSwe get,

Sin2x/ ( 1+ cos2x ) =2 sinx•cosx/2cos^2x

=sinx / cosx

= Tanx

.•. sin2x/(1 + cos2x)= tanx

Step-by-step explanation:

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Answer:

42.7\,\,cubic\,\, meters

Step-by-step explanation:

Given: Perimeter of base of a pyramid = 12.8 m

Height of the pyramid = 12.5 m

To find: volume of a pyramid

Solution:

Perimeter of base of a pyramid = 12.8 m

As base of the pyramid is a square,

12.8 = 4(side\,\,of\,\,a\,\,square)

side of a square = \frac{12.8}{4}=3.2\,\,m

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Height of the pyramid (h) = 12.5 m

Volume of the pyramid = \frac{Ah}{3}=\frac{1}{3}(10.24)(12.5)=42.7\,\,cubic \,\,meters

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Free_Kalibri [48]

Answer:

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