In any ABC- Prove that b2-c2-a2sin 2 A-c2-a2-b2sin 2 B-a2-b2-c2 sin 2 C-0OrTwo ships leave a port at the same time- One goes 24 km - h in the direction N 45- E and the other travels 32 km - h in the direction S 75- E- Find the distance between the ships at the end of 3 h-

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Byju's Answer

Standard XII

Mathematics

Domain and Range of Trigonometric Ratios

In any ABC, P...

Question

In any $△ A B C,$ Prove that $\frac{b^{2} - c^{2}}{a^{2}}$ $sin$ 2 A + $\frac{c^{2} - a^{2}}{b^{2}}$ sin 2 B + $\frac{a^{2} - b^{2}}{c^{2}}$ sin 2 C = 0

Or

Two ships leave a port at the same time. One goes 24 km/h in the direction N 45 $^{\circ}$ E and the other travels 32 km/h in the direction S 75 $^{\circ}$ E. Find the distance between the ships at the end of 3 h.

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Solution

Or 86.53 km

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In any △ABC, Prove that b2−c2a2 sin 2 A + c2−a2b2 sin 2 B + a2−b2c2 sin 2 C = 0 Or Two ships leave a port at the same time. One goes 24 km/h in the direction N 45∘ E and the other travels 32 km/h in the direction S 75∘ E. Find the distance between the ships at the end of 3 h.

Or 86.53 km