Practice30 Create account

For every θ at which it is defined, (sec θ − tan θ)(sec θ + tan θ) + (cosec θ − cot θ)(cosec θ + cot θ) equals:

Competition practiceTrigonometry

A0
B2
C1
Dse $c^{2}$ θ + cose $c^{2}$ θ

Step-by-Step Solution

The first product is se

c^{2}

θ − ta

n^{2}

θ = 1 and the second is cose

c^{2}

θ − co

t^{2}

θ = 1, so the sum is 2.

Answer: B) 2

Master this topic in 30 minutes a day.

Don't just memorise the answer — build a daily practice habit.

Practice 5 Similar Questions Free →

All Trigonometry practice questions

More Trigonometry practice

The equation 8sinθ + 15cosθ = k has a real solution θ exactly when:In triangle ABC the sides satisfy a : b : c = 4 : 5 : 6. The cosine of the SMALLEST…The sum of all the angles θ with 0° < θ < 180° for which tan3θ = 1 is:If x = tanθ + cotθ and y = tanθ − cotθ, then x² − y² equals:A student writes: 'Since sin²θ + cos²θ = 1, taking the square root of both sides gives…