Q. 23

# If x = a sec θ cos φ, y = b sec θ sin φ and z = c tan θ, then A. B. C. D.

Given: x a sec θ cos ϕ

Squaring both sides, we get

x2 = a2 sec2 θ cos2ϕ

and y = b sec θ sin ϕ

Squaring both sides, we get

y2 = b2 sec2 θ sin2ϕ

And z = c tan θ

z2 = c2 tan2 θ

………(i)

To find:

Consider

= sec2 θ cos2ϕ + sec2 θ sin2ϕ

= sec2 θ (cos2ϕ + sin2ϕ)

= sec2 θ [ sin2ϕ + cos2ϕ = 1]

= 1 + tan2 θ [ 1 + tan2 θ = sec2 θ]

Rate this question :

How useful is this solution?
We strive to provide quality solutions. Please rate us to serve you better.
Related Videos
Basic Concepts of Trigonometry45 mins
Trigonometric Identities33 mins
Champ Quiz | Trigonometric Identities33 mins
NCERT | Trigonometric Identities52 mins
Trigonometric Identities44 mins
Solving NCERT Questions on Trigonometric Identities56 mins
Algebraic Identities48 mins
Quiz | Practice Important Questions on Trigonometrical Identities46 mins
Quiz | Task on Trigonometric Ratios46 mins
Trick to learn all Trigonometric Formulae28 mins
Try our Mini CourseMaster Important Topics in 7 DaysLearn from IITians, NITians, Doctors & Academic Experts
Dedicated counsellor for each student
24X7 Doubt Resolution
Daily Report Card
Detailed Performance Evaluation
view all courses