Soalan 1:
Dengan menggunakan kalkulator saintifik, hitung nilai x berikut.
(a) tan x = 0.2162
(b) kos x = 0.5878
(c) sin x = 0.4062
(d) sin x = 0.9121
(e) kos x = 0.9686
(f) tan x = 3.8027
(g) kos x = 0.5604
(h) sin x = 0.1521
(i) tan x = 0.7199
(j) sin x = 0.9792
(k) tan x = 1.0088
(l) kos x = 0.099
Penyelesaian:
(a)
$$ \begin{aligned} \tan x & =0.2162 \\ x & =\tan ^{-1} 0.2162 \\ & =12.2^{\circ} \\ & =12^{\circ} 12^{\prime} \end{aligned} $$
(b)
$$ \begin{aligned} \operatorname{kos} x & =0.5878 \\ x & =\operatorname{kos}^{-1} 0.5878 \\ & =54.0^{\circ} \end{aligned} $$
(c)
$$ \begin{aligned} \sin x & =0.4062 \\ x & =\sin ^{-1} 0.4062 \\ & =24.0^{\circ} \end{aligned} $$
(d)
$$ \begin{aligned} \sin x & =0.9121 \\ x & =\sin ^{-1} 0.9121 \\ & =65.8^{\circ} \\ & =65^{\circ} 48^{\prime} \end{aligned} $$
(e)
$$ \begin{aligned} \operatorname{kos} x & =0.9686 \\ x & =\mathrm{kos}^{-1} 0.9686 \\ & =14.4^{\circ} \\ & =14^{\circ} 24^{\prime} \end{aligned} $$
(f)
$$ \begin{aligned} \tan x & =3.8027 \\ x & =\tan ^{-1} 3.8027 \\ & =75.3^{\circ} \\ & =75^{\circ} 16^{\prime} \end{aligned} $$
(g)
$$ \begin{aligned} \operatorname{kos} x & =0.5604 \\ x & =\operatorname{kos}^{-1} 0.5604 \\ & =55.9^{\circ} \\ & =55^{\circ} 55^{\prime} \end{aligned} $$
(h)
$$ \begin{aligned} \sin x & =0.1521 \\ x & =\sin ^{-1} 0.1521 \\ & =8.7^{\circ} \\ & =8^{\circ} 45^{\prime} \end{aligned} $$
(i)
$$ \begin{aligned} \tan x & =0.7199 \\ x & =\tan ^{-1} 0.7199 \\ & =35.8^{\circ} \\ & =35^{\circ} 45^{\prime} \end{aligned} $$
(j)
$$ \begin{aligned} \sin x & =0.9792 \\ x & =\sin ^{-1} 0.9792 \\ & =78.3^{\circ} \\ & =78^{\circ} 18^{\prime} \end{aligned} $$
(k)
$$ \begin{aligned} \tan x & =1.0088 \\ x & =\tan ^{-1} 1.0088 \\ & =45.3^{\circ} \\ & =45^{\circ} 15^{\prime} \end{aligned} $$
(l)
$$ \begin{aligned} \operatorname{kos} x & =0.099 \\ x & =\operatorname{kos}^{-1} 0.099 \\ & =84.3^{\circ} \\ & =84^{\circ} 19^{\prime} \end{aligned} $$
Dengan menggunakan kalkulator saintifik, hitung nilai x berikut.
(a) tan x = 0.2162
(b) kos x = 0.5878
(c) sin x = 0.4062
(d) sin x = 0.9121
(e) kos x = 0.9686
(f) tan x = 3.8027
(g) kos x = 0.5604
(h) sin x = 0.1521
(i) tan x = 0.7199
(j) sin x = 0.9792
(k) tan x = 1.0088
(l) kos x = 0.099
Penyelesaian:
(a)
$$ \begin{aligned} \tan x & =0.2162 \\ x & =\tan ^{-1} 0.2162 \\ & =12.2^{\circ} \\ & =12^{\circ} 12^{\prime} \end{aligned} $$
(b)
$$ \begin{aligned} \operatorname{kos} x & =0.5878 \\ x & =\operatorname{kos}^{-1} 0.5878 \\ & =54.0^{\circ} \end{aligned} $$
(c)
$$ \begin{aligned} \sin x & =0.4062 \\ x & =\sin ^{-1} 0.4062 \\ & =24.0^{\circ} \end{aligned} $$
(d)
$$ \begin{aligned} \sin x & =0.9121 \\ x & =\sin ^{-1} 0.9121 \\ & =65.8^{\circ} \\ & =65^{\circ} 48^{\prime} \end{aligned} $$
(e)
$$ \begin{aligned} \operatorname{kos} x & =0.9686 \\ x & =\mathrm{kos}^{-1} 0.9686 \\ & =14.4^{\circ} \\ & =14^{\circ} 24^{\prime} \end{aligned} $$
(f)
$$ \begin{aligned} \tan x & =3.8027 \\ x & =\tan ^{-1} 3.8027 \\ & =75.3^{\circ} \\ & =75^{\circ} 16^{\prime} \end{aligned} $$
(g)
$$ \begin{aligned} \operatorname{kos} x & =0.5604 \\ x & =\operatorname{kos}^{-1} 0.5604 \\ & =55.9^{\circ} \\ & =55^{\circ} 55^{\prime} \end{aligned} $$
(h)
$$ \begin{aligned} \sin x & =0.1521 \\ x & =\sin ^{-1} 0.1521 \\ & =8.7^{\circ} \\ & =8^{\circ} 45^{\prime} \end{aligned} $$
(i)
$$ \begin{aligned} \tan x & =0.7199 \\ x & =\tan ^{-1} 0.7199 \\ & =35.8^{\circ} \\ & =35^{\circ} 45^{\prime} \end{aligned} $$
(j)
$$ \begin{aligned} \sin x & =0.9792 \\ x & =\sin ^{-1} 0.9792 \\ & =78.3^{\circ} \\ & =78^{\circ} 18^{\prime} \end{aligned} $$
(k)
$$ \begin{aligned} \tan x & =1.0088 \\ x & =\tan ^{-1} 1.0088 \\ & =45.3^{\circ} \\ & =45^{\circ} 15^{\prime} \end{aligned} $$
(l)
$$ \begin{aligned} \operatorname{kos} x & =0.099 \\ x & =\operatorname{kos}^{-1} 0.099 \\ & =84.3^{\circ} \\ & =84^{\circ} 19^{\prime} \end{aligned} $$