In the given figure, AD BC. If AB = 13 cm, BD = 5 cm and DC = 16 cm, find the values of : (i) sin B (ii) sec B (iii) cot B (iv) cos C (v) cosec C (vi) tan C

Question

KnowledgeBoat · Accepted Answer

Using pythagoras theorem in right angled triangle ADB AB2 = BD2 + AD2 AD2 = AB2 - BD2 AD2 = 132 - 52 AD2 = 169 - 25 AD2 = 144 AD = AD = 12 cm Now we will find out AC using pythagoras theorem in right angled triangle ADC, AC2 = DC2 + AD2 AC2 = 162 + 122 AC2 = 256 + 144 AC2 = 400 AC = AC = 20 cm Now, (i) sin B = (ii) sec B = (iii) cot B = (iv) cos C = (v) cosec C = (vi) tan C =

Mathematics

In the given figure, AD ⊥ BC.
If AB = 13 cm, BD = 5 cm and DC = 16 cm, find the values of :
(i) sin B
(ii) sec B
(iii) cot B
(iv) cos C
(v) cosec C
(vi) tan C

Trigonometrical Ratios

Related Questions

In the given figure, ∠B = 90°, AB = 4 units and BC = 3 units. Find:
(i) sin A
(ii) cos A
(iii) cot A
(iv) sin C
(v) sec C
(vi) tan C

From the given figure, write down the values of :
(i) sin B
(ii) tan B
(iii) cos C
(iv) cot C
(v) (sin B cos C + cos B sin C)
(vi) (sec² C - tan² C)

Mathematics

In the given figure, AD ⊥ BC.If AB = 13 cm, BD = 5 cm and DC = 16 cm, find the values of :(i) sin B(ii) sec B(iii) cot B(iv) cos C(v) cosec C(vi) tan C

Trigonometrical Ratios

Related Questions

In the given figure, ∠B = 90°, AB = 4 units and BC = 3 units. Find:(i) sin A(ii) cos A(iii) cot A(iv) sin C(v) sec C(vi) tan C

From the given figure, write down the values of :(i) sin B(ii) tan B(iii) cos C(iv) cot C(v) (sin B cos C + cos B sin C)(vi) (sec2 C - tan2 C)

In the given figure, AD ⊥ BC.
If AB = 13 cm, BD = 5 cm and DC = 16 cm, find the values of :
(i) sin B
(ii) sec B
(iii) cot B
(iv) cos C
(v) cosec C
(vi) tan C

In the given figure, ∠B = 90°, AB = 4 units and BC = 3 units. Find:
(i) sin A
(ii) cos A
(iii) cot A
(iv) sin C
(v) sec C
(vi) tan C

From the given figure, write down the values of :
(i) sin B
(ii) tan B
(iii) cos C
(iv) cot C
(v) (sin B cos C + cos B sin C)
(vi) (sec² C - tan² C)