Question

without using tables of trigonometry give the value


$sec15\pi \div 4$
please solve this it's urgent​

Answer 1

Answer:

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⭐Answer in 2 methods:➡

⭐First Method:➡

To find the value of sec 15π/4

We know that,

π=180

Firstly,find out the value of 15π/4

$\begin{lgathered}\frac{15 \pi}{4} \\ \\ = \frac{15 \times 180}{4} \\ \\ = 15 \times 45 \\ \\ = 675\end{lgathered}$

415π = 415×180

=15×45

=675

Implies,sec15π/4 = sec675

Now, sec675 can also be expressed as sec[(2×360)+45]

Thus, sec675 =sec45

From the trigonometric table,

sec 45 = √2

⭐Second Method:➡

2√2

The exact value of sec(π4) sec ( π 4 ) is 2√2 .

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Answer 2

$$\huge\bold{\purple{\fbox {\pink{\mathbb{ANSWER}}}}}$$

⭐Answer in 2 methods:➡

⭐First Method:➡

To find the value of sec 15π/4

We know that,

π=180

Firstly,find out the value of 15π/4

$$\begin{gathered}\begin{lgathered}\frac{15 \pi}{4} \\ \\ = \frac{15 \times 180}{4} \\ \\ = 15 \times 45 \\ \\ = 675\end{lgathered}\end{gathered}$$

415π = 415×180

=15×45

=675

Implies,sec15π/4 = sec675

Now, sec675 can also be expressed as sec[(2×360)+45]

Thus, sec675 =sec45

From the trigonometric table,

sec 45 = √2

⭐Second Method:➡

2√2

The exact value of sec(π4) sec ( π 4 ) is 2√2 .

$$\bold{\purple{\fbox {\green{Hope\:it\:helps\:you}}}}$$

$$\bold{\purple{\fbox {\orange{Plz\:mark\:as\:brainliest}}}}$$