Answer
The value of\[\sin 3{{2}^{o}}\] is \[0.5299\], \[\sin 17{}^\circ \]is \[0.2923\], \[\sin 50{}^\circ \] is \[0.7660\],\[\sin 88{}^\circ \] is \[0.9993\]. The Co word in cosine stands for complementary.
Work Step by Step
It is required to determine sine and cosine ratio of different measures. Sine and cosine ratio can be computed by using the calculator as shown below:
\[\sin 3{{2}^{o}}=0.5299\] and \[cos5{{8}^{o}}=0.5299\]
\[\sin {{17}^{o}}=0.2923\] and \[cos{{73}^{o}}=0.2923\]
\[\sin {{50}^{o}}=0.7660\] and \[cos{{40}^{o}}=0.7660\]
\[\sin {{88}^{o}}=0.9993\] and \[cos{{2}^{o}}=0.9993\]
Hence, after observation it can be concluded that the relation between sine and cosine functions is as follows:
\[\sin \theta =cos(9{{0}^{o}}-\theta )\].
Co word in the cosine stands for complementary. After observing the values of sine and cosine ratios, it can be concluded that cosine is the complementary function of sine function. Since angle\[A+B={{90}^{o}}\], it can be concluded that angle A and angle B are complementary angles.
