Question

Cosec (65°+theta) - sec (25°-theta) - tan (55°-theta) + cot( 35°+theta)

Answer 1

cosec(65+theta) -sec(25- theta) -tan(55-theta) +cot (35+theta)

=>sec[ 90-(65 +theta)] -sec(25-theta) -cot [90-(55-theta)] +cot (35+theta)  since sec(90-x)=cosecx, cot(90-x) tanx

=> sec(25-theta) -sec(25-theta) -cot(35+theta)+cot(35+theta)

=>0 ans

Answer 2

Answer:

0

Step-by-step explanation:

We have to find the value of the expression

$cosec(65+\theta)-sec(25-\theta)-tan(55-\theta)+cot(35+\theta)$

We can use the properties

$sec(90-\theta)=cosec\theta$

$cot(90-\theta)=tan\theta$

Thus, the given expression can be written as

$cosec(65+\theta)-sec(90-(65+\theta))-tan(55-\theta)+cot(90-(55-\theta))\\\\=cosec(65+\theta)-cosec(65+\theta)-tan(55-\theta)+tan(55-\theta)\\\\=0$

Therefore, the value of the expression is 0.