If sec θ − tan θ = m, then the value of sec θ + tan θ is :

Question

MCQ (Single)Identity Relating Secant and TangentCBSE PYQ

Loading...

If a sec θ + b tan θ = m and b sec θ + a tan θ = n, prove that a² + n² = b² + m²

Use the identity : sin²A + cos²A = 1 to prove that tan²A + 1 = sec²A. Hence, find the value of tan A, when sec A = 5/3, where A is an acute angle.

Pythagorean Trigonometric Identity

Identity Relating Secant and Tangent

Assertion (A) : For an acute angle θ, sec θ = 3 ⇒ tan θ = 2√2 . Reason (R) : sec²θ = 1 − tan²θ for all values of θ.

Find the value of x for which (sin A + cosec A)² + (cos A + sec A)² = x + tan² A + cot² A

Evaluate the following : (3 sin30° – 4 sin³30°)/(2 sin²50° + 2 cos²50°)

Prove that : √((sec A − 1)/(sec A + 1)) + √((sec A + 1)/(sec A − 1)) = 2 cosec A