Question

if
$sin \: 0 \: - \: 7. \: cos \: 0 \: = \: 0 \\ then \: find \: value \: of \: sec. \: 0$

Answer 1

$since \: \: \sin( \alpha ) = \frac{1}{ \cosec( \alpha ) }............(1) \\ \\ but \: given \: that \: \sin( \alpha ) = \frac{1}{2} ...........(2) \\ \\ on \: comparing \: equation \: (1) \: and \: (2) \\ \\ \frac{1}{cosec( \alpha )} = \frac{1}{2} \\ \\ or \: cosec( \alpha ) = 2 \\ \\ proved \\ \\ hope \: it \: helps$

Answer 2

$\textbf \red{ \huge \boxed{answer}} \\ \\ cosec \: \theta \: = 2$

$<b><i> solution$

$sin \theta = \frac{1}{2} \: equations 1 (given) \\ \\ using \: formula \: from \\ \: trigonometry \\ \\ sin \theta = \frac{1}{cosec \theta} equation 2.$

Here comparing equations 1 from equations 2.

Comparing equations first from equations second.

$\frac{1}{2} = \frac{1}{cosec \theta} \\ \\ cosec \theta = 2$

Here some Trigonometry formula.

$sin \theta = \frac{1}{cosec \theta} \\ \\ cos \theta = \frac{1}{ sec\theta } \\ \\ tan\theta = \frac{1}{cot\theta}$

Here six trigonometric Name .

Sine , Cosine, tangent , Cosecant , Secant, cotangent.

short form

sin, cos, tan,cosec, sec,cot.

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