Question

If sin theta + cos theta = a, then the value of sin theta/sec theta is​

Answer 1

Answer:

these are some important formulas

Step-by-step explanation:

hope it helps u :)

Answer 2

Answer:

$\frac{a^2-1}{2}$

Step-by-step explanation:

$\sec\theta = \frac{1}{\cos\theta}\\\\\frac{\sin\theta}{\sec\theta} = \frac{\sin\theta}{\frac{1}{\cos\theta}}= \sin\theta\cos\theta$

So we have to find the value of sinθcosθ

sinθ + cosθ = a

Squaring both sides

(sinθ + cosθ)² = a²

sin²θ + cos²θ + 2sinθcosθ = a²

1 + 2sinθcosθ = a²

2sinθcosθ = a²-1

sinθcosθ = $\frac{a^2-1}{2}$

Thus  $\frac{a^2-1}{2}$ is the correct answer