10. Simplify:
-7 (3Z + 5+ – 39)

-21z+238

Step-by-step explanation:

Use distributive property

Part 1)

Part 2)

Part 3)

Part 4)

Step-by-step explanation:

Part 1) Note In this problem sinx should be 4/5 not 45 and cosx should be 3/5 not 35

Given sinx=4/5 and cosx=3/5 (see the note)

What is ratio for tanx ?

we know that

substitute the values

Part 2) ∠A is an acute angle in a right triangle

Note In this problem cosA should be 15/17 not 1517

Given that cosA=15/17, what is the ratio for sinA?

we know that

substitute the value of cos(A) and solve for sin(A)

Part 3) Given sinx=0.5 , what is cosx ?

we know that

substitute the value of sin(x) and solve for cos(x)

Part 4) What is the value of x?

sin(x+22)°=cos(2x−7)°

we know that

if

then

-----> by complementary angles

so

in this problem

solve for x