Math, asked by shushmitha21, 4 months ago

prove that (1+tan A - secA) (1+cotA+cosecA)=2

Answers

Answered by sandy1816

$(1 + tana - seca)(1 + cota + coseca) \\ \\ = ( \frac{cosa + sina - 1}{cosa} )( \frac{sina + cosa + 1}{sina} ) \\ \\ = \frac{( {cosa + sina})^{2} - 1 }{cosasina} \\ \\ = \frac{1 + 2sinacosa - 1}{sinacosa} \\ \\ = 2$

Previous Question

Next Question

Similar questions

Math, 2 months ago

Solve this:- $\frac{1}{x} + \frac{1}{y} = 14$ $\frac{1}{x} - \frac{1}{y} = 4$ Spam not allowed...

History, 2 months ago

Who was founder of mughle empire?

Math, 2 months ago

15. Find the area of a right-angled triangle, the radius of who circumcircle measures 8 cm and the altitude drawn to the hypotenuse measures 6 cm.

Math, 4 months ago

please show full definition and give me correct answer ...

Math, 4 months ago

divide using factorisation a¹² + a⁶b⁶+b ¹² ÷a⁶-a³b³+b⁶...

Biology, 10 months ago

Select the correct term for the following definitions (I,ii,iii,iv). (i) The taxon is liable to become extinct if not allowed to realise its full biotic potential by providing protection from exotic species/human exploitation/habitat deterioration/depletion of food. (ii) The taxon is facing a high risk of extinction in the wild in the near future due to decreasein its habitat, excessive...

Biology, 10 months ago

A critically endangered animal is...

Computer Science, 10 months ago

in nonverbal communication we use dash to communicate...

prove that (1+tan A - secA) (1+cotA+cosecA)=2​

Answers

prove that (1+tan A - secA) (1+cotA+cosecA)=2