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2 years ago

If tan x is equal to 3/4 find the value of sin x + cos x/ cos x (1 - cos x)

Mathematics

1 answer:

Flauer [41]2 years ago

6 0

Answer:

35/4 =8¾

Step-by-step explanation:

using pythagoras theorem

hyp²=opp²+adj²

recall that tanX= opp/adj

taking our opposite side to be 3 and the adjacent side to be 4 , the hyp² = 3²+4²

hypotenuse = 5

recall also that , sinX = opposite /hypotenuse

= 3/5

CosX= adjacent /hypotenuse

=4/5

so we've known tanx = 3/4 cosX = 4/5 sinx= 3/5

substitute these values into your equation

it will give us 3/5 + 4/5 divided by 4/5 ×(1-4/5)

=35/4 = 8¾

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In ΔTUV, the measure of ∠V=90°, UT = 65, VU = 56, and TV = 33. What ratio represents the cosine of ∠T?

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<u>Answer:</u> The ratio that represents the cosine of ∠T is $\frac{56}{65}$

<u>Step-by-step explanation:</u>

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UV = 56 units

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Cosine of an angle is equal to the ratio of base and the hypotenuse of the triangle. ΔTUV is drawn in the image below.

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If tan x is equal to 3/4 find the value of sin x + cos x/ cos x (1 - cos x) ​

If tan x is equal to 3/4 find the value of sin x + cos x/ cos x (1 - cos x)