Question

find the value of sec45/ cos45+ cosec45/sin45​

Answer 1

Answer:

${\huge{\boxed{\orange{\text{Correct Answer Is 4}}}}}$

Step-by-step explanation:

${\red{\text{sec45°/cos45° + cosec45°/sin45°}}}$

⇒ 1/cos45°•cos45° + 1/sin45°•sin45°

⇒ 1/[1/√2•1/√2] + 1/[1/√2•1/√2]

⇒ 2 + 2

⇒ 4

Answer 2

$\underline{ \boxed {\bold {Question}}}$

• $\frac{sec45^{.} }{cos45^{.}} + \frac{cosec45^{.} }{sin45^{.}} = \:?$

$\underline{ \boxed {\bold {Important \: identities \: to \: be \: remembered}}}$

• sin²Ф + cos²Ф = 1
• sinФ = 1/cosecФ
• cosФ = 1/secФ

$\underline{ \boxed {\bold {Answer}}}$

$= \frac{sec45^{.} }{cos45^{.}} + \frac{cosec45^{.} }{sin45^{.}} \\\\= \frac{1 }{cos^{2}45} + \frac{1 }{sin^{2}45} \\\\= \frac{sin^{2}45 + cos^{2}45}{cos^{2}45\times sin^{2}45} \\\\= \frac{1}{\frac{1}{2} \times \frac{1}{2} } \\\\= 4$

∴ Value of expression = 4