If cosƟ+`"cos"^{2}Ɵ` =1,the value of `"sin"^{2}`Ɵ+`"sin"^{4}Ɵ` is - Bzziii

If cosƟ+`"cos"^{2}Ɵ` =1,the value of `"sin"^{2}`Ɵ+`"sin"^{4}Ɵ` is

(a) -1
(b) 0
(c) 1
(d) 2




(c) 1

Explanation:

Given,

cosƟ+`"cos"^{2}Ɵ` =1

cosƟ = 1 - `"cos"^{2}Ɵ`

cosƟ = `"sin"^{2}Ɵ`

 `"sin"^{2}Ɵ` = cosƟ 

Now,

 `"sin"^{2}Ɵ` +  `"sin"^{4}Ɵ` = cosƟ  +  `"cos"^{2}Ɵ`  = 1

So, the correct answer is option (c)





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