Register

Find a numerical value of one trigonometric function of x for cscx = sinx tanx + cosx

Find a numerical value of one trigonometric function of x for cscx = sinx tanx + cosx
asked 53.5k views
3 votes
Find a numerical value of one trigonometric function of x for cscx = sinx tanx + cosx

asked
User Felan
by
8.7k points

2 Answers

5 votes

Answer:

cot x=1

Explanation:

got it right

answered
User Jade Byfield
by
8.6k points
6 votes

Answer:

Explanation:

we have


cscx = sinx tanx + cosx\\\\(1)/(sinx)=sinx.(sinx)/(cosx) +cosx\\\\(1)/(sinx).sinx.cosx= sinx.(sinx)/(cosx).sinx.cosx+cosx.sinx.cosx\\ cosx= (sinx)^(3) +sinx.(cosx)^(2) \\cosx= sinx[(sinx)^(2)+(cosx)^(2))\\ cosx=sinx.1\\cosx=sinx\\tanx=1\\x=(\pi)/(4) +k\pi,k-integer.

answered
User Lifang
by
8.1k points
← Prev Question Next Question →

Related questions

User Nerve
asked Dec 18, 2024 79.1k views
Prove (secx)/(tanx)-(cscx)/(cot x)=(1)/(sinx)-(1)/(cosx)
Nerve asked Dec 18, 2024
by Nerve
7.6k points
1 answer
0 votes
79.1k views
Ask a Question
Welcome to Qamnty — a place to ask, share, and grow together. Join our community and get real answers from real people.

Categories

Other Questions

How do you can you solve this problem 37 + y = 87; y =
What is .725 as a fraction
A bathtub is being filled with water. After 3 minutes 4/5 of the tub is full. Assuming the rate is constant, how much longer will it take to fill the tub?
Link Copied!