3 years ago

Verify the identity. tan(θ) sin(θ) + cos(θ) = sec(θ)

Mathematics

1 answer:

MariettaO [177]3 years ago

4 0

Step-by-step explanation:

first of all

$tan = \ \frac{ \sin}{ \cos }$

put above of equation

(sin/cos)(sin)+cos =sec

sin²/cos +cos=sec

take l.c.m

sin²+cos²/cos=sec

as sin ²+cos²=1 so

1/cos=sec

sec=sec

hence proved

You might be interested in

which is the rationalized form of the expression the square root of x divided by the square root of x +the square root of 7

Ilya [14]

Answer:

I assume your goal is to rationalize the denominator -

So you need to multiply the denominator by its conjugate.

So we have:

$\frac{\sqrt{x} }{\sqrt{x}-\sqrt{7} } *\frac{\sqrt{x} +\sqrt{7} }{\sqrt{x} +\sqrt{7}}$

$\frac{x-\sqrt{7}\sqrt{x} }{x-7}$

8 0

3 years ago

Mari bought 6 packets of tomato seeds. Each

Sphinxa [80]

Mari bought 6 packages of tomato seeds and each package contains 24 seeds then
Seeds = (6) * (24) = 144.
Mari has a total of 144 seeds.
Mari planted a pack of seeds and has 15 germinated seeds.
144-24-15 = 105
Mari then has 105 seeds left.
Answer
C At least 100 but no more than 120 seeds will sprout

5 0

3 years ago

Read 2 more answers

Please help solve last one

mr_godi [17]

Answer:

The answer would be 7(2x+3y+z) or 7(2x+3y+1z) (both would be considered as correct)

Step-by-step explanation:

5 0

3 years ago

What is the area of rectangle PQRS

lord [1]

Step-by-step explanation:

60 × 60= 3600

I hope this is correct

6 0

3 years ago

2.Draw a diagram to represent each of these situations. Then write an addition expression that represents the final temperature.

Crazy boy [7]

Wait can you draw diagrams on here?

3 0

3 years ago