Question

If sinA =24/25 find the value of (tanA+secA)

Answer 1

if sinA is 24/25 then cosA will be = to 25/24 
  so tanA+secA= sinA/cosA+1/cosA   (24/25)/(25/24)+24/25=  24*24/25*25 +24/25=   576/625+24/25=576+680/625= 1256/625=2.0096

Answer 2

Answer:

Concept:

Trigonometry is the branch of mathematics that deals with particular angles' functions and how to use those functions in calculations. There are six common uses for an angle in trigonometry .There are four different types of trigonometry in use today: analytical, plane, spherical, and core. The ratio between the sides and angles of a right triangle is an important topic in trigonometry. There are six common uses for an angle in trigonometry.

• Sine (sin), cosine (cos), tangent (tan), cotangent (cot), secant (sec), and cosecant(cosec) are their respective names 

Step-by-step explanation:

Given:

sin A =24/25.

To find:

tan A+ sec A

Solutions:

Here perpendicular, height, base can be represented as P, H, B.

Let sin A = $\frac{24}{25}$  = $\frac{perpendicular}{hypotonuse}$ =$\frac{P}{H}$

According to pythagoras theorem,

H² = P²+B²

25² = 24²+ B²

625 = 576 +B²

625-576 = B²

49 = B²

B = 7

⇒ tan A = $\frac{P}{B}$

⇒ tan A  =$\frac{24}{7}$

⇒ sec A = $\frac{H}{B}$

⇒ sec A = $\frac{25}{7}$

⇒ tan A + sec A = $\frac{24}{7}$ + $\frac{25}{7}$

                      =$\frac{49}{7}$

                      = 7

Therefore  tan A + sec A = 7 .

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