Question

B) Solve the following
1.) If tan =3/4 find the value of sec =​

Answer 1

Step-by-step explanation:

5 by 4

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Answer 2

$\large\sf\underline{⇨\:Question }$

• If tanθ =3/4 find the value of secθ .

$\large\sf\underline{⇨\:Given}$

• $\sf\:tanθ=\frac{3}{4}$

$\large\sf\underline{⇨\:Solution}$

We know that,

• $\sf\:Sec^{2}θ-tan^{2}θ=1$

So,

$\sf➪\:Sec^{2}θ-tan^{2}θ=1$

$\sf➪\:Sec^{2}θ=1+tan^{2}θ$

$\sf➪\:Sec^{2}θ= 1+\frac({3}{4}) ^{2}θ$

$\sf➪\:Sec^{2}θ= 1+\frac({9}{16})$

$\sf➪\:Sec^{2}θ= \frac{16+9}{16}$

$\sf➪\:Sec^{2}θ= \frac{25}{16}$

$\sf➪\:Secθ=\sqrt{\frac{25}{16}}$

$\sf➪\:Secθ=\frac{5}{4}$

$\large\fbox\red{✰\:Secθ=5/4}$

• Thnku ❣