Solve 90sin15^circ+90sin50^circ

$$90 \sin 15 ^ { \circ } + 90 \sin 50 ^ { \circ }$$

Evaluate

$$92.2377139399348866$$

Solution Steps

Evaluate trigonometric functions in the problem

$$90 \cdot 0.25881904510252074 + 90 \cdot 0.766044443118978$$

Multiply 90 and 0.25881904510252074 to get 23.2937140592268666.

$$23.2937140592268666+90\times 0.766044443118978$$

Multiply 90 and 0.766044443118978 to get 68.94399988070802.

$$23.2937140592268666+68.94399988070802$$

Add 23.2937140592268666 and 68.94399988070802 to get 92.2377139399348866.

$$92.2377139399348866$$

Factor

$$\frac{547 \cdot 1451 \cdot 797069641 \cdot 3 ^ {6}}{2 ^ {15} \cdot 5 ^ {16}} = 92\frac{1188569699674432}{5000000000000000} = 92.23771393993489$$