Question

if (1 + cos theta) (1 -cos theta)=3/4, find the value of sec theta​

Answer 1

Answer:

2

Step-by-step explanation:

Using formula :

$(x + y)(x - y) = {x}^{2} - {y}^{2}$

$(1 - \cos\alpha )(1 + \cos\alpha ) = 1 - { \cos ^{2} \alpha }$

$1 - { \cos ^{2} \alpha } = \frac{3}{4}$

${ \cos ^{2} \alpha } = 1 - \frac{3}{4} = \frac{1}{4}$

$\cos \alpha = \frac{1}{2} = \frac{1}{ \sec\alpha }$

So,

$\sec \alpha = 2$