Question

evaluate the sum given in picture​

Answer 1

Answer:

Value of the given expression is -1

Step-by-step explanation:

$\frac{2 \sin26}{cos64} - \frac{4tan65}{cot25} + \frac{coses70}{sec20} \\ \\ = \frac{2sin(90 - 64)}{cos64}-\frac{4 \tan(90 - 25) }{cot25} + \frac{cosec(90 - 20)}{sec20} \\ \\ = \frac{2cos64}{cos64} - \frac{4cot25}{cot25} + \frac{sec20}{sec20} \\ \\ = 2 - 4 + 1 \\ = 3 - 4 \\ = - 1$

Concept Used:

If A + B = 90°,

Then, B = 90° - A

sin(90° - A) = cosA

tan(90° - A) = cotA

cosec(90° - A) = secA

_______________________________

//Hope this will Helped You //

//Please mark it as Brainliest//