PLEASE SHOW WORK!!!!!! 9) Find the value of the expression. a. cos arctan -- b. tan(arcsin(x))...
verify algebraically cos(-x) -= sec x + tan x 1+ sin(-x) tan x + cotx=sec X CSC X
show all work 15-18. Verify each identity. 15. tan x + cotx = sec X csc X 16. 1+sin cos B cos B 1-sin B 17. cosa a-sina a sin a cosa = cota - tan a
1-17 u ule exact value of the expression 1) cos? 30+ cos? 60 2) cot 45-tan 45 5-6 Use the given information to find the exact value 3) sin? 53 + cos2 53 4) cot 20 -tan 20 5) sin = , where is in quadrant 1. Find tan 6) tan 0 = - , where is in quadrant 4. Find sec 7-12 Verify the identity 7) tan sin cos 0 = sin? 8) tane = sine 9) tancos? +...
Verify that the equation is an identity. sin x cOS X secx + = sec?x-tan? CSC X Both sides of this identity look similarly complex. To verify the identity, start with the left side and simplify it. Then work with the right side and try to simplify it to the same result. Choose the correct transformations and transform the expression at each step COS X sin x secx CSC X The left-hand side is simplified enough now, so start working...
7. Find the EXACT value of the answer, show work, (a) sin- (sin 57), (b) arctan(tan-7), (7a) (c) sin(cos-+(-3)), (d) cot(arcsin ;), (7b) (70) (70)
8. (a) (5pt) Prove the identity: cscx -cos x=sec x . sin'x 4 and tan θ<0 (b) (5pt) Find cos θ , if sin θ 8. (a) (5pt) Prove the identity: cscx -cos x=sec x . sin'x 4 and tan θ
show work 9. tan 37 10. sec 4 11. Find sin(x + y) and cos(x + y) if cosx = - cosy = -— x is in quadrant II and y is in quadrant III. [10] 12. Find the exact value of sin 2x and cos 2x if sin x = and cos x = - [6] 5 13. Simplify tan (x + 3) to a form involving sinx, cosx, and/or tanx. [6]
please answer 37, 39 and 41 thout looking at the 1 I number ol solutions, is it an identity? Explain. 30. Does an identity have an infinite number of solutions? entities are called Explain. dentities to find the Eric functions of In Problems 31-36, use the fundamental identities to find the exact values of the remaining trigonometrie fonctions of x. given the following: 31. sin x = 2/5 and cos x < 0 32. cos x - 3/4 and tan...
a+b Cos x If tan () Q.9 tan tan tan then find the value of 0.
please show calculations Solve the equation on the interval 0 s < 2t. 1) 2 cos 0+32 2) tan2 = 3 3) 2 sin2 = sino show calculation please 4) 2 cos2 - 3 cos 0+1=0 5) sin2 - Cos2 0 = 0 Simplify the expression 6) + tan e 1+ sin e cose 7) (1 + cot e)(1-cote) -sce Establish the identity. 8) (sin x)(tan x cos x - cotx cos x) = 1 - 2 cos2x 9) (1...