If x = a sec A cos B, y = b sec A sin B and z = c tan A, prove that

Question

KnowledgeBoat · Accepted Answer

⇒ x = a sec A cos B sec A cos B = ....(1) ⇒ y = b sec A sin B sec A sin B = ....(2) Square and add equations (1) and (2) : Now, ⇒ z = c tan A tan A = tan2 A = ...(4) Subtract (4) from (3): Hence, proved that .

Mathematics

If x = a sec A cos B, y = b sec A sin B and z = c tan A, prove that

Trigonometric Identities

Related Questions

Eliminate θ between the given equations:
x = h + a cos θ, y = k + b sin θ

Using tables, find the values of:
(i) sin 83° 12′
(ii) sin 61° 14′
(iii) sin 9° 55′
(iv) sin 32° 40′

Using tables, find the values of:
(i) cos 48° 36′
(ii) cos 23° 6′
(iii) cos 70° 17′
(iv) cos 85° 8′

Mathematics

If x = a sec A cos B, y = b sec A sin B and z = c tan A, prove that

Trigonometric Identities

Related Questions

Eliminate θ between the given equations:x = h + a cos θ, y = k + b sin θ

Using tables, find the values of:(i) sin 83° 12′(ii) sin 61° 14′(iii) sin 9° 55′(iv) sin 32° 40′

Using tables, find the values of:(i) cos 48° 36′(ii) cos 23° 6′(iii) cos 70° 17′(iv) cos 85° 8′

Eliminate θ between the given equations:
x = h + a cos θ, y = k + b sin θ

Using tables, find the values of:
(i) sin 83° 12′
(ii) sin 61° 14′
(iii) sin 9° 55′
(iv) sin 32° 40′

Using tables, find the values of:
(i) cos 48° 36′
(ii) cos 23° 6′
(iii) cos 70° 17′
(iv) cos 85° 8′