Question

(1+cos theta)(1-cos theta)cosectheta=​

Answer 1

Answer:

to prove

(sqrt(1 + cos alpha))/(sqrt(1 - cos alpha)) = cos e * c * alpha + cot alpha

proof

prove

√1 + cos a √1 - cosa

√(1 + cosa) (1 + cosa)

√(1- cosa) (1 + cosa)

√ (1 + cosa)² √1² - cos² a

(1 + cosa)² √ sin² a

1 + cosa sin a

1 + cosa

sin a

1

sina

=

sina

= coseca + cota

= rhs

hence proved

Have taken theta a

FORMULAS USED:

1) (a + b)(a - b) = a ^ 2 - b ^ 2

2)cos²A+sin²A=1

3)1/sinA=cosecA

4)cosA/sinA=cotA

Step-by-step explanation:

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