Use the information given in the following figure to evaluate : 10/sin x + 6/sin y - 6 cot y.

Question

KnowledgeBoat · Accepted Answer

From the figure, in Δ ADC, ⇒ AC2 = DC2 \+ AD2 (∵ AC is hypotenuse) ⇒ 202 = DC2 \+ 122 ⇒ 400 = DC2 \+ 144 ⇒ DC2 = 400 \- 144 ⇒ DC2 = 256 ⇒ DC = ⇒ DC = 16 BD = BC \- DC = 21 \- 16 = 5 In Δ ABD, ⇒ AB2 = AD2 \+ BD2 (∵ AB is hypotenuse) ⇒ AB2 = 122 \+ 52 ⇒ AB2 = 144 \+ 25 ⇒ AB2 = 169 ⇒ AB = ⇒ AB = 13 sin x = sin y = cot y = Now, Hence,

Mathematics

Use the information given in the following figure to evaluate : 10/sin x + 6/sin y - 6 cot y.

Trigonometric Identities

Related Questions

If 3 cos A = 4 sin A, find the value of :
(i) cos A
(ii) 3 - cot² A + cosec² A

Mathematics

Use the information given in the following figure to evaluate : 10/sin x + 6/sin y - 6 cot y.

Trigonometric Identities

Related Questions

If 3 cos A = 4 sin A, find the value of :(i) cos A(ii) 3 - cot2 A + cosec2 A

If 3 cos A = 4 sin A, find the value of :
(i) cos A
(ii) 3 - cot² A + cosec² A