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nataly862011 [7]
3 years ago
15

If ABC is congruent to CBD, then what is the value of x?

Mathematics
1 answer:
kkurt [141]3 years ago
7 0

Answer: \\ 3x = 75 \\ \Leftrightarrow x = 25

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(1+tanx)/(sinx+cosx)=secx
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\frac{1+\tan x}{\sin x+\cos x}=\sec x is proved

<h3><u>Solution:</u></h3>

Given that,

\frac{1+\tan x}{\sin x+\cos x}=\sec x  ------- (1)

First we will simplify the LHS and then compare it with RHS

\text { L. H.S }=\frac{1+\tan x}{\sin x+\cos x}  ------ (2)

\text {We know that } \tan x=\frac{\sin x}{\cos x}

Substitute this in eqn (2)

=\frac{1+\frac{\sin x}{\cos x}}{\sin x+\cos x}

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=\frac{\frac{\sin x+\cos x}{\cos x}}{\sin x+\cos x}

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=\frac{1}{c o s x}

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=\sec x=R . H . S

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