Question

Q:-If tan θ =12/5 ,then show that 5 cos θ + 12 sin θ = 13
​

Answer 1

Step-by-step explanation:

$\huge{\bold☘}\mathfrak\pink{\bold{\underline{{ ℘ɧεŋσɱεŋศɭ}}}}{\bold☘}$

$\red{\bold{\underline{\underline{QUESTION:-}}}}$

Q:-If tan θ =12/5 ,then show that 5 cos θ + 12 sin θ = 13

$\huge\tt\underline\blue{Answer }$

_ _ _ _ _ _ _ _ _ _ _ _ _ _ _✍️

════════════XXX═════════════

$⟹\bold{tan \theta = \frac{p}{b} = \frac{12}{5}}$

$⟹ \bold{{h}^{2} = {p}^{2} + {b}^{2}}$

$⟹\bold{ {h}^{2} = 144 + 125 = 169}$

$⟹\bold{h = \sqrt{169} = 13}$

$⟹\bold{cos \theta = \frac{b}{h} = \frac{5}{13}}$

$⟹\bold{sin \theta = \frac{p}{h} = \frac{12}{13} }$

$\bold{Now \: 5 \times \frac{5}{13} + 12 \times \frac{12}{13} = 13}$

$⟹\bold{ \frac{25}{13} + \frac{144}{13} = 13}$

$⟹\bold{ \frac{169}{13} = 13}$

$\bold{13 = 13}$

$\bold{\red{From\: above\: it\: is\: proved \:that [tex]tan\theta=12/5}}$

════════════XXX═════════════

HOPE IT HELPS YOU..

_____________________

Thankyou:)

Answer 2

Answer:

5cos theta+12sin theta=13 then tan theta=? a) (12),(5) c) (12),(13) ... NaN00+ SHARES · If cos theta=(12)/(13), show that sin theta. play.